Task 1 (20%)
Mencía Gómez Luna - id document: 05468738-M
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Case study: analysis of Brexit surveys
Let’s look at an actual case study based on the articles «The Brexit Vote: A Divided Nation, a Divided Continent» (S. B. Hobolt, 2016) and «Who Voted for Brexit? A Comprehensive District-Level Analysis» (S. O. Becker et al., 2017)
Data will be extracted from the Elena Llaudet’s Github repo
Case study: analysis of Brexit surveys
library(readr)
brexit_data <- read.csv("https://raw.githubusercontent.com/ellaudet/DSS/refs/heads/master/BES.csv")
brexit_data vote leave education age
1 leave 1 3 60
2 leave 1 NA 56
3 stay 0 5 73
4 leave 1 4 64
5 don't know NA 2 68
6 stay 0 4 85
7 leave 1 3 78
8 leave 1 2 51
9 leave 1 3 59
10 leave 1 4 68
11 stay 0 4 53
12 leave 1 4 52
13 leave 1 4 70
14 leave 1 4 39
15 leave 1 NA 48
16 leave 1 3 65
17 stay 0 2 53
18 stay 0 2 59
19 leave 1 NA 50
20 stay 0 4 61
21 leave 1 2 81
22 leave 1 4 55
23 leave 1 2 65
24 stay 0 5 45
25 leave 1 2 75
26 leave 1 NA 36
27 stay 0 4 43
28 leave 1 4 68
29 leave 1 4 58
30 leave 1 4 61
31 stay 0 4 76
32 stay 0 3 56
33 stay 0 NA 71
34 leave 1 4 34
35 stay 0 5 37
36 leave 1 5 62
37 stay 0 3 50
38 stay 0 5 46
39 stay 0 4 65
40 stay 0 5 69
41 leave 1 4 48
42 stay 0 3 54
43 stay 0 5 42
44 leave 1 2 78
45 stay 0 3 68
46 leave 1 NA 57
47 stay 0 2 64
48 stay 0 4 59
49 stay 0 4 70
50 stay 0 2 68
51 leave 1 NA 53
52 leave 1 4 60
53 leave 1 2 48
54 leave 1 2 71
55 stay 0 3 63
56 leave 1 2 78
57 leave 1 4 63
58 leave 1 1 65
59 stay 0 3 62
60 stay 0 4 65
61 leave 1 4 53
62 leave 1 3 64
63 stay 0 4 71
64 stay 0 4 38
65 leave 1 2 70
66 leave 1 3 52
67 leave 1 2 36
68 stay 0 4 62
69 stay 0 5 37
70 stay 0 4 52
71 leave 1 4 71
72 leave 1 4 59
73 stay 0 2 57
74 stay 0 3 76
75 leave 1 5 65
76 stay 0 4 57
77 stay 0 4 67
78 leave 1 5 35
79 won't vote NA 3 38
80 leave 1 2 64
81 leave 1 1 79
82 stay 0 NA 58
83 leave 1 2 50
84 leave 1 3 49
85 leave 1 1 64
86 stay 0 2 54
87 leave 1 5 70
88 stay 0 4 38
89 stay 0 3 46
90 stay 0 4 48
91 don't know NA 4 64
92 leave 1 4 64
93 stay 0 2 78
94 stay 0 4 72
95 stay 0 4 53
96 stay 0 4 52
97 stay 0 4 69
98 leave 1 3 67
99 leave 1 2 63
100 leave 1 2 68
101 stay 0 4 42
102 stay 0 3 74
103 don't know NA 2 67
104 stay 0 4 64
105 stay 0 5 39
106 don't know NA 4 45
107 leave 1 5 70
108 leave 1 NA 72
109 stay 0 4 72
110 stay 0 4 43
111 leave 1 3 69
112 leave 1 NA 72
113 don't know NA 4 49
114 stay 0 2 54
115 leave 1 NA 79
116 stay 0 4 48
117 leave 1 2 59
118 leave 1 NA 54
119 stay 0 4 64
120 stay 0 5 45
121 stay 0 2 64
122 leave 1 2 57
123 don't know NA NA 70
124 leave 1 2 58
125 leave 1 4 77
126 leave 1 2 58
127 stay 0 4 48
128 stay 0 4 48
129 don't know NA 4 47
130 stay 0 3 43
131 leave 1 2 50
132 leave 1 4 57
133 leave 1 4 64
134 leave 1 4 52
135 don't know NA 3 71
136 stay 0 4 63
137 leave 1 4 71
138 stay 0 1 58
139 won't vote NA 4 44
140 leave 1 3 45
141 leave 1 5 36
142 leave 1 1 69
143 stay 0 1 60
144 leave 1 2 52
145 stay 0 2 63
146 leave 1 3 70
147 stay 0 4 55
148 leave 1 3 38
149 stay 0 4 67
150 stay 0 4 45
151 leave 1 3 74
152 leave 1 2 50
153 leave 1 3 50
154 stay 0 3 58
155 leave 1 2 68
156 stay 0 3 54
157 leave 1 3 67
158 leave 1 NA 69
159 leave 1 2 76
160 stay 0 4 34
161 leave 1 3 70
162 stay 0 4 59
163 stay 0 1 72
164 leave 1 4 58
165 stay 0 4 55
166 stay 0 3 80
167 leave 1 4 72
168 leave 1 5 73
169 stay 0 4 66
170 stay 0 4 68
171 leave 1 4 52
172 leave 1 4 61
173 leave 1 3 48
174 leave 1 3 60
175 leave 1 2 74
176 leave 1 2 47
177 stay 0 5 33
178 stay 0 3 65
179 leave 1 3 46
180 stay 0 5 60
181 stay 0 4 65
182 stay 0 2 53
183 stay 0 4 76
184 stay 0 4 38
185 stay 0 4 69
186 don't know NA 4 60
187 leave 1 1 70
188 leave 1 3 55
189 stay 0 5 62
190 don't know NA 2 45
191 stay 0 2 76
192 won't vote NA 2 57
193 leave 1 5 72
194 stay 0 4 40
195 leave 1 2 67
196 leave 1 2 57
197 stay 0 4 69
198 stay 0 4 74
199 leave 1 NA 48
200 stay 0 3 54
201 stay 0 3 33
202 leave 1 2 59
203 leave 1 NA 78
204 stay 0 4 69
205 stay 0 4 73
206 stay 0 3 75
207 stay 0 4 54
208 stay 0 4 61
209 stay 0 4 65
210 leave 1 4 52
211 stay 0 4 45
212 stay 0 4 54
213 stay 0 4 54
214 leave 1 2 66
215 stay 0 5 64
216 leave 1 3 56
217 don't know NA 4 73
218 leave 1 4 37
219 stay 0 4 60
220 stay 0 4 37
221 leave 1 4 57
222 stay 0 1 60
223 stay 0 NA 56
224 stay 0 NA 59
225 leave 1 2 59
226 stay 0 5 42
227 stay 0 4 37
228 leave 1 4 66
229 leave 1 NA 63
230 stay 0 4 32
231 stay 0 3 59
232 stay 0 4 38
233 stay 0 4 72
234 leave 1 5 54
235 leave 1 NA 74
236 stay 0 1 73
237 stay 0 2 59
238 leave 1 NA 65
239 stay 0 5 38
240 stay 0 5 78
241 leave 1 NA 61
242 don't know NA 2 58
243 stay 0 4 61
244 stay 0 4 69
245 leave 1 4 68
246 stay 0 5 63
247 stay 0 4 58
248 stay 0 3 77
249 stay 0 3 71
250 leave 1 4 47
251 don't know NA 1 83
252 stay 0 4 41
253 stay 0 3 34
254 leave 1 NA 51
255 leave 1 5 68
256 stay 0 4 60
257 stay 0 2 43
258 stay 0 5 71
259 stay 0 4 48
260 leave 1 5 72
261 leave 1 2 68
262 leave 1 4 77
263 stay 0 5 58
264 leave 1 4 47
265 leave 1 NA 40
266 don't know NA 4 46
267 leave 1 2 69
268 leave 1 NA 66
269 leave 1 4 72
270 stay 0 4 77
271 leave 1 3 36
272 stay 0 2 68
273 stay 0 3 54
274 stay 0 4 36
275 don't know NA 5 67
276 leave 1 3 64
277 leave 1 5 43
278 leave 1 2 65
279 stay 0 4 51
280 leave 1 4 75
281 stay 0 1 66
282 leave 1 3 64
283 leave 1 3 53
284 leave 1 4 51
285 stay 0 5 57
286 stay 0 4 37
287 leave 1 3 45
288 leave 1 4 67
289 won't vote NA NA 50
290 leave 1 NA 80
291 stay 0 4 62
292 don't know NA 4 32
293 stay 0 4 67
294 stay 0 5 40
295 stay 0 2 54
296 stay 0 NA 71
297 leave 1 1 61
298 stay 0 4 61
299 leave 1 2 48
300 leave 1 2 57
301 stay 0 3 32
302 stay 0 4 44
303 leave 1 4 49
304 stay 0 4 53
305 leave 1 5 28
306 don't know NA NA 45
307 don't know NA 3 60
308 leave 1 4 65
309 stay 0 4 37
310 won't vote NA 5 31
311 stay 0 1 72
312 stay 0 NA 33
313 stay 0 4 63
314 don't know NA NA 69
315 leave 1 4 59
316 stay 0 4 51
317 stay 0 NA 64
318 stay 0 4 43
319 stay 0 4 69
320 don't know NA 5 36
321 leave 1 NA 32
322 leave 1 2 70
323 stay 0 4 53
324 leave 1 2 65
325 leave 1 3 62
326 stay 0 3 64
327 stay 0 3 68
328 leave 1 4 39
329 stay 0 4 31
330 stay 0 4 36
331 leave 1 4 56
332 leave 1 4 68
333 stay 0 4 48
334 stay 0 NA 61
335 leave 1 1 57
336 stay 0 4 61
337 leave 1 NA 55
338 stay 0 4 35
339 stay 0 3 51
340 stay 0 4 54
341 don't know NA NA 44
342 stay 0 2 56
343 don't know NA 4 34
344 stay 0 5 36
345 leave 1 2 71
346 leave 1 NA 58
347 leave 1 NA 40
348 stay 0 2 58
349 leave 1 4 53
350 stay 0 4 48
351 leave 1 2 43
352 stay 0 5 69
353 stay 0 5 44
354 stay 0 4 56
355 don't know NA 1 63
356 leave 1 NA 60
357 leave 1 4 57
358 leave 1 3 70
359 leave 1 5 59
360 stay 0 3 61
361 stay 0 4 58
362 stay 0 4 62
363 stay 0 3 51
364 leave 1 4 55
365 stay 0 4 62
366 stay 0 4 43
367 stay 0 3 58
368 stay 0 4 48
369 stay 0 5 57
370 stay 0 5 57
371 leave 1 4 62
372 stay 0 5 37
373 leave 1 4 62
374 leave 1 2 71
375 leave 1 5 41
376 stay 0 4 45
377 leave 1 4 47
378 leave 1 4 64
379 stay 0 4 46
380 stay 0 4 61
381 leave 1 4 63
382 stay 0 4 53
383 leave 1 4 61
384 leave 1 NA 69
385 stay 0 4 58
386 stay 0 4 65
387 leave 1 5 61
388 stay 0 4 67
389 stay 0 3 56
390 stay 0 5 70
391 leave 1 5 71
392 stay 0 4 45
393 leave 1 4 65
394 leave 1 4 58
395 leave 1 5 59
396 stay 0 3 45
397 don't know NA 4 65
398 leave 1 1 65
399 stay 0 4 65
400 stay 0 5 39
401 leave 1 4 51
402 leave 1 5 51
403 leave 1 2 56
404 leave 1 1 70
405 stay 0 4 54
406 stay 0 4 67
407 stay 0 3 63
408 leave 1 4 55
409 stay 0 4 43
410 stay 0 5 44
411 stay 0 5 61
412 stay 0 4 66
413 stay 0 5 57
414 stay 0 4 59
415 leave 1 5 62
416 leave 1 NA 70
417 leave 1 4 61
418 leave 1 5 65
419 leave 1 5 69
420 stay 0 5 57
421 stay 0 4 60
422 leave 1 4 70
423 don't know NA 5 53
424 leave 1 2 70
425 don't know NA NA 66
426 stay 0 4 43
427 stay 0 4 44
428 leave 1 4 61
429 leave 1 4 61
430 leave 1 4 73
431 stay 0 3 63
432 leave 1 4 63
433 stay 0 5 55
434 leave 1 3 64
435 leave 1 4 61
436 stay 0 5 58
437 stay 0 4 42
438 leave 1 3 59
439 leave 1 3 51
440 leave 1 4 50
441 leave 1 1 45
442 leave 1 4 57
443 stay 0 4 52
444 leave 1 NA 69
445 stay 0 4 44
446 stay 0 NA 68
447 stay 0 2 40
448 stay 0 NA 54
449 leave 1 2 49
450 stay 0 5 39
451 stay 0 4 54
452 leave 1 4 67
453 leave 1 5 48
454 leave 1 4 74
455 stay 0 NA 65
456 stay 0 4 70
457 leave 1 NA 63
458 leave 1 4 41
459 stay 0 2 67
460 stay 0 3 36
461 stay 0 3 45
462 stay 0 5 49
463 stay 0 4 65
464 stay 0 4 65
465 leave 1 5 51
466 leave 1 4 65
467 leave 1 2 64
468 leave 1 5 60
469 stay 0 5 56
470 leave 1 NA 66
471 leave 1 1 61
472 stay 0 NA 58
473 stay 0 3 71
474 leave 1 3 63
475 leave 1 3 65
476 leave 1 4 62
477 leave 1 4 73
478 stay 0 4 53
479 stay 0 4 63
480 stay 0 4 37
481 leave 1 4 65
482 leave 1 2 56
483 stay 0 4 44
484 stay 0 5 50
485 stay 0 4 65
486 stay 0 4 61
487 stay 0 4 54
488 leave 1 4 35
489 stay 0 4 64
490 stay 0 3 47
491 leave 1 5 73
492 leave 1 4 70
493 won't vote NA 5 59
494 leave 1 1 65
495 stay 0 2 50
496 leave 1 4 50
497 leave 1 4 56
498 stay 0 5 49
499 leave 1 4 64
500 leave 1 4 63
501 stay 0 4 61
502 leave 1 4 73
503 stay 0 2 65
504 stay 0 4 68
505 stay 0 5 66
506 leave 1 4 55
507 stay 0 4 66
508 leave 1 4 70
509 leave 1 4 78
510 stay 0 5 46
511 leave 1 5 52
512 stay 0 NA 45
513 stay 0 3 47
514 leave 1 2 66
515 leave 1 4 50
516 stay 0 3 42
517 stay 0 4 59
518 stay 0 5 53
519 stay 0 4 67
520 leave 1 2 56
521 stay 0 4 60
522 leave 1 1 61
523 leave 1 2 59
524 leave 1 3 56
525 leave 1 3 69
526 stay 0 4 67
527 leave 1 2 51
528 leave 1 4 70
529 leave 1 5 57
530 stay 0 4 49
531 leave 1 4 59
532 stay 0 4 61
533 leave 1 4 66
534 stay 0 5 46
535 don't know NA 4 56
536 stay 0 2 52
537 stay 0 4 70
538 leave 1 NA 70
539 leave 1 3 71
540 stay 0 4 59
541 leave 1 3 70
542 stay 0 4 61
543 stay 0 4 47
544 leave 1 4 43
545 stay 0 4 42
546 stay 0 4 51
547 leave 1 4 47
548 stay 0 2 69
549 leave 1 2 42
550 stay 0 2 44
551 stay 0 NA 63
552 stay 0 5 49
553 leave 1 4 62
554 stay 0 5 51
555 stay 0 5 53
556 leave 1 NA 63
557 stay 0 4 44
558 stay 0 5 69
559 leave 1 5 62
560 leave 1 5 54
561 leave 1 4 61
562 stay 0 4 47
563 leave 1 4 63
564 leave 1 4 68
565 stay 0 4 41
566 stay 0 5 58
567 leave 1 4 65
568 stay 0 2 58
569 leave 1 3 69
570 stay 0 4 48
571 stay 0 4 35
572 leave 1 3 51
573 leave 1 5 67
574 stay 0 5 50
575 leave 1 4 70
576 leave 1 4 72
577 leave 1 NA 71
578 stay 0 5 63
579 leave 1 4 43
580 leave 1 4 54
581 leave 1 2 69
582 don't know NA 5 41
583 leave 1 4 68
584 leave 1 4 72
585 stay 0 5 48
586 leave 1 5 57
587 stay 0 NA 55
588 don't know NA 4 54
589 leave 1 2 68
590 stay 0 4 57
591 stay 0 5 68
592 leave 1 5 52
593 stay 0 4 64
594 leave 1 4 63
595 leave 1 2 57
596 stay 0 4 71
597 leave 1 4 67
598 leave 1 4 67
599 stay 0 5 57
600 stay 0 4 71
601 leave 1 2 62
602 stay 0 4 64
603 leave 1 3 63
604 stay 0 5 53
605 stay 0 5 62
606 stay 0 4 63
607 stay 0 4 52
608 leave 1 4 51
609 stay 0 5 62
610 don't know NA 4 55
611 stay 0 4 65
612 stay 0 5 65
613 stay 0 4 58
614 stay 0 4 49
615 leave 1 4 53
616 stay 0 5 67
617 stay 0 5 67
618 don't know NA 5 53
619 leave 1 3 45
620 stay 0 5 61
621 leave 1 4 74
622 stay 0 5 44
623 stay 0 4 46
624 leave 1 3 69
625 leave 1 4 37
626 stay 0 4 64
627 leave 1 5 53
628 stay 0 5 54
629 leave 1 3 60
630 stay 0 4 40
631 stay 0 4 41
632 stay 0 4 63
633 leave 1 4 44
634 stay 0 4 42
635 stay 0 5 46
636 leave 1 3 52
637 leave 1 2 64
638 stay 0 5 37
639 don't know NA 4 65
640 stay 0 5 37
641 stay 0 4 66
642 leave 1 4 64
643 stay 0 5 60
644 stay 0 NA 60
645 leave 1 3 70
646 won't vote NA 3 35
647 leave 1 1 69
648 stay 0 4 64
649 leave 1 5 51
650 stay 0 4 64
651 stay 0 5 56
652 leave 1 4 63
653 leave 1 4 77
654 stay 0 4 64
655 leave 1 4 55
656 leave 1 4 64
657 stay 0 2 61
658 stay 0 4 68
659 leave 1 4 63
660 stay 0 4 60
661 stay 0 4 53
662 leave 1 4 29
663 don't know NA 5 65
664 stay 0 5 75
665 leave 1 NA 62
666 stay 0 4 65
667 stay 0 4 75
668 stay 0 5 57
669 don't know NA NA 61
670 leave 1 4 59
671 leave 1 NA 66
672 stay 0 2 28
673 leave 1 5 65
674 stay 0 5 60
675 leave 1 4 39
676 leave 1 4 45
677 leave 1 NA 55
678 don't know NA 4 38
679 stay 0 4 75
680 stay 0 5 57
681 leave 1 4 67
682 leave 1 3 50
683 leave 1 4 55
684 leave 1 NA 62
685 stay 0 4 58
686 stay 0 3 57
687 stay 0 4 64
688 leave 1 4 60
689 stay 0 5 61
690 stay 0 3 77
691 stay 0 5 69
692 stay 0 3 63
693 leave 1 3 66
694 stay 0 4 54
695 stay 0 5 56
696 leave 1 5 53
697 leave 1 4 44
698 stay 0 4 50
699 stay 0 4 60
700 stay 0 5 54
701 stay 0 4 58
702 leave 1 3 39
703 leave 1 4 45
704 leave 1 2 54
705 leave 1 4 61
706 leave 1 4 46
707 stay 0 4 69
708 stay 0 5 58
709 stay 0 5 62
710 leave 1 4 46
711 leave 1 4 50
712 stay 0 4 40
713 stay 0 4 65
714 stay 0 5 42
715 stay 0 5 67
716 stay 0 4 60
717 don't know NA 3 57
718 don't know NA 4 55
719 leave 1 3 57
720 leave 1 5 41
721 stay 0 4 45
722 stay 0 5 63
723 stay 0 NA 59
724 leave 1 NA 54
725 leave 1 3 58
726 stay 0 4 58
727 stay 0 4 57
728 stay 0 5 66
729 stay 0 4 61
730 stay 0 NA 72
731 stay 0 4 64
732 stay 0 4 75
733 leave 1 3 68
734 stay 0 4 75
735 leave 1 2 59
736 stay 0 5 71
737 leave 1 3 60
738 stay 0 2 53
739 leave 1 2 65
740 stay 0 5 45
741 stay 0 3 73
742 leave 1 4 70
743 don't know NA 1 62
744 stay 0 3 72
745 stay 0 5 47
746 leave 1 1 74
747 leave 1 5 60
748 leave 1 4 71
749 leave 1 3 39
750 leave 1 5 64
751 stay 0 4 56
752 leave 1 4 56
753 stay 0 4 67
754 leave 1 3 71
755 stay 0 4 34
756 leave 1 3 79
757 stay 0 NA 74
758 leave 1 1 63
759 leave 1 NA 79
760 leave 1 3 74
761 stay 0 2 77
762 leave 1 2 81
763 leave 1 4 69
764 leave 1 4 83
765 leave 1 5 67
766 leave 1 3 86
767 leave 1 2 69
768 leave 1 4 51
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770 stay 0 4 44
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773 stay 0 5 57
774 stay 0 4 62
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776 stay 0 4 67
777 leave 1 3 46
778 stay 0 5 35
779 leave 1 4 71
780 leave 1 5 69
781 stay 0 4 64
782 stay 0 5 73
783 leave 1 2 53
784 leave 1 4 59
785 don't know NA 3 59
786 stay 0 4 51
787 leave 1 2 42
788 stay 0 4 65
789 stay 0 2 68
790 leave 1 2 73
791 stay 0 4 39
792 leave 1 3 68
793 stay 0 4 59
794 stay 0 4 53
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796 stay 0 4 56
797 stay 0 2 52
798 leave 1 4 65
799 stay 0 4 32
800 leave 1 4 65
801 stay 0 4 61
802 leave 1 3 60
803 stay 0 3 46
804 stay 0 4 56
805 stay 0 4 58
806 leave 1 2 67
807 leave 1 4 83
808 leave 1 2 77
809 stay 0 4 86
810 leave 1 4 52
811 leave 1 4 72
812 stay 0 NA 70
813 stay 0 NA 61
814 leave 1 5 48
815 stay 0 5 32
816 don't know NA 5 37
817 leave 1 2 64
818 leave 1 4 72
819 leave 1 4 77
820 leave 1 4 56
821 leave 1 3 67
822 leave 1 NA 79
823 leave 1 4 58
824 leave 1 1 71
825 stay 0 5 44
826 stay 0 5 65
827 leave 1 5 36
828 leave 1 2 58
829 stay 0 4 59
830 stay 0 5 68
831 leave 1 4 66
832 stay 0 3 52
833 stay 0 2 64
834 leave 1 2 76
835 leave 1 4 70
836 stay 0 4 57
837 leave 1 4 67
838 stay 0 1 68
839 leave 1 4 55
840 leave 1 3 53
841 leave 1 5 76
842 stay 0 5 68
843 stay 0 4 47
844 leave 1 2 51
845 leave 1 4 79
846 leave 1 NA 61
847 stay 0 2 65
848 stay 0 4 60
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850 stay 0 2 58
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853 stay 0 4 43
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861 leave 1 4 34
862 leave 1 4 58
863 leave 1 4 56
864 stay 0 3 74
865 stay 0 2 70
866 stay 0 4 62
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868 don't know NA 2 51
869 stay 0 4 62
870 leave 1 NA 58
871 leave 1 3 69
872 leave 1 4 66
873 leave 1 3 57
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877 leave 1 NA 77
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897 don't know NA 3 78
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900 don't know NA NA 69
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902 stay 0 4 35
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904 stay 0 5 66
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972 don't know NA NA 53
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978 stay 0 5 58
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980 stay 0 5 60
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986 leave 1 NA 50
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1000 stay 0 3 54
1001 leave 1 NA 65
1002 leave 1 3 70
1003 leave 1 1 64
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1005 leave 1 3 64
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1009 leave 1 2 55
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1013 leave 1 3 63
1014 stay 0 3 68
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1017 stay 0 2 71
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1020 stay 0 4 72
1021 leave 1 4 73
1022 don't know NA 2 63
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1024 leave 1 2 68
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1026 don't know NA 3 58
1027 stay 0 3 78
1028 stay 0 4 51
1029 leave 1 4 70
1030 leave 1 2 49
1031 stay 0 3 38
1032 don't know NA 4 64
1033 leave 1 4 43
1034 stay 0 NA 85
1035 leave 1 4 58
1036 don't know NA 4 68
1037 stay 0 5 52
1038 leave 1 5 33
1039 leave 1 4 48
1040 stay 0 4 55
1041 leave 1 NA 48
1042 stay 0 5 40
1043 leave 1 4 69
1044 leave 1 1 66
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1047 leave 1 NA 57
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1049 leave 1 NA 68
1050 leave 1 3 67
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1052 don't know NA 5 67
1053 leave 1 4 59
1054 leave 1 2 73
1055 leave 1 2 64
1056 leave 1 NA 70
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1840 don't know NA 3 42
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1842 leave 1 1 70
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1844 leave 1 3 56
1845 don't know NA 2 52
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1855 don't know NA 5 35
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1885 stay 0 NA 59
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1892 don't know NA 4 65
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1967 leave 1 4 68
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2005 stay 0 5 33
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2029 stay 0 4 37
2030 leave 1 1 75
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2032 leave 1 2 68
2033 leave 1 5 73
2034 leave 1 3 60
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2042 leave 1 2 73
2043 stay 0 4 67
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2046 leave 1 2 77
2047 leave 1 3 57
2048 leave 1 2 69
2049 leave 1 NA 71
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2052 leave 1 4 57
2053 stay 0 4 32
2054 stay 0 2 60
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2056 leave 1 2 76
2057 leave 1 4 57
2058 leave 1 3 73
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2061 leave 1 3 60
2062 leave 1 2 75
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2071 leave 1 2 71
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2077 leave 1 NA 79
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17919 don't know NA 2 56
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17927 won't vote NA 3 58
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19064 won't vote NA 4 57
19065 stay 0 4 24
19066 leave 1 3 52
19067 leave 1 2 63
19068 leave 1 1 69
19069 leave 1 2 54
19070 stay 0 NA 48
19071 stay 0 NA 68
19072 don't know NA 3 69
19073 stay 0 4 25
19074 stay 0 5 24
19075 leave 1 3 56
19076 stay 0 4 31
19077 stay 0 NA 72
19078 leave 1 1 68
19079 stay 0 4 26
19080 leave 1 4 45
19081 leave 1 3 38
19082 leave 1 2 63
19083 leave 1 2 69
19084 stay 0 4 75
19085 stay 0 1 64
19086 leave 1 2 62
19087 don't know NA NA 33
19088 stay 0 5 34
19089 stay 0 5 25
19090 leave 1 2 61
19091 stay 0 NA 24
19092 leave 1 4 47
19093 stay 0 4 23
19094 stay 0 4 23
19095 leave 1 3 48
19096 stay 0 5 25
19097 stay 0 4 71
19098 stay 0 4 26
19099 leave 1 3 49
19100 leave 1 2 23
19101 leave 1 1 68
19102 leave 1 1 66
19103 stay 0 4 26
19104 stay 0 4 24
19105 leave 1 2 67
19106 leave 1 3 60
19107 won't vote NA 2 42
19108 don't know NA 5 59
19109 don't know NA NA 32
19110 leave 1 4 23
19111 stay 0 4 26
19112 don't know NA 5 37
19113 stay 0 4 25
19114 leave 1 2 52
19115 don't know NA 1 76
19116 leave 1 3 49
19117 stay 0 4 25
19118 leave 1 3 59
19119 stay 0 3 23
19120 stay 0 4 26
19121 stay 0 NA 29
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19123 leave 1 NA 46
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19125 stay 0 4 26
19126 leave 1 NA 50
19127 stay 0 4 25
19128 leave 1 3 80
19129 leave 1 1 63
19130 stay 0 4 24
19131 leave 1 1 67
19132 don't know NA 4 64
19133 stay 0 4 26
19134 stay 0 2 47
19135 don't know NA 4 56
19136 stay 0 5 25
19137 stay 0 5 25
19138 stay 0 3 34
19139 stay 0 4 33
19140 leave 1 3 43
19141 leave 1 1 58
19142 don't know NA 2 52
19143 don't know NA 3 37
19144 stay 0 NA 48
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19146 stay 0 4 26
19147 leave 1 4 26
19148 stay 0 2 49
19149 leave 1 3 55
19150 stay 0 2 47
19151 won't vote NA 3 29
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19153 stay 0 4 23
19154 leave 1 4 62
19155 leave 1 NA 35
19156 leave 1 3 70
19157 leave 1 2 74
19158 leave 1 1 69
19159 leave 1 2 53
19160 stay 0 4 25
19161 leave 1 2 57
19162 leave 1 3 40
19163 leave 1 1 69
19164 don't know NA 3 40
19165 stay 0 3 21
19166 leave 1 2 60
19167 leave 1 4 66
19168 leave 1 2 56
19169 leave 1 4 25
19170 leave 1 NA 54
19171 leave 1 4 31
19172 leave 1 4 25
19173 leave 1 NA 65
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19175 leave 1 3 67
19176 leave 1 4 24
19177 leave 1 4 66
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19181 leave 1 2 44
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19183 leave 1 3 25
19184 stay 0 3 22
19185 won't vote NA NA 26
19186 leave 1 2 66
19187 leave 1 4 24
19188 leave 1 NA 63
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19190 stay 0 4 63
19191 don't know NA 3 47
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19193 stay 0 NA 24
19194 leave 1 5 23
19195 stay 0 3 50
19196 don't know NA 2 62
19197 stay 0 NA 25
19198 leave 1 5 62
19199 leave 1 2 65
19200 stay 0 2 72
19201 stay 0 3 20
19202 leave 1 4 37
19203 stay 0 3 69
19204 leave 1 2 71
19205 don't know NA 4 62
19206 stay 0 3 62
19207 stay 0 NA 42
19208 leave 1 4 70
19209 leave 1 3 33
19210 stay 0 4 25
19211 stay 0 3 26
19212 leave 1 2 45
19213 leave 1 4 74
19214 leave 1 4 46
19215 leave 1 2 80
19216 stay 0 2 67
19217 leave 1 1 66
19218 stay 0 4 26
19219 stay 0 2 75
19220 leave 1 2 44
19221 stay 0 4 63
19222 don't know NA 1 61
19223 stay 0 4 24
19224 leave 1 3 69
19225 leave 1 1 79
19226 stay 0 3 24
19227 don't know NA NA 59
19228 leave 1 4 47
19229 leave 1 NA 59
19230 stay 0 4 24
19231 stay 0 4 24
19232 leave 1 NA 32
19233 leave 1 2 57
19234 stay 0 4 24
19235 stay 0 2 63
19236 leave 1 3 52
19237 stay 0 4 22
19238 leave 1 NA 73
19239 don't know NA 4 25
19240 leave 1 4 52
19241 stay 0 3 60
19242 stay 0 3 56
19243 stay 0 4 24
19244 leave 1 3 23
19245 stay 0 4 28
19246 leave 1 3 64
19247 leave 1 4 48
19248 leave 1 2 48
19249 stay 0 3 19
19250 leave 1 1 49
19251 stay 0 4 26
19252 stay 0 3 40
19253 leave 1 3 68
19254 don't know NA 4 64
19255 stay 0 1 62
19256 stay 0 NA 24
19257 stay 0 4 23
19258 leave 1 3 40
19259 leave 1 NA 49
19260 leave 1 3 39
19261 stay 0 3 19
19262 leave 1 4 31
19263 don't know NA 2 24
19264 stay 0 5 46
19265 don't know NA NA 23
19266 stay 0 3 49
19267 don't know NA 3 29
19268 leave 1 4 64
19269 stay 0 1 68
19270 stay 0 3 48
19271 leave 1 3 65
19272 stay 0 3 24
19273 leave 1 3 38
19274 won't vote NA 4 22
19275 stay 0 4 23
19276 stay 0 3 33
19277 leave 1 1 77
19278 leave 1 1 62
19279 stay 0 NA 57
19280 leave 1 4 44
19281 stay 0 4 24
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19283 stay 0 5 33
19284 stay 0 3 21
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19286 stay 0 3 33
19287 stay 0 4 26
19288 stay 0 4 28
19289 leave 1 NA 56
19290 stay 0 3 21
19291 don't know NA 4 31
19292 stay 0 4 22
19293 leave 1 3 63
19294 leave 1 NA 57
19295 leave 1 3 46
19296 don't know NA 1 33
19297 stay 0 3 22
19298 stay 0 3 58
19299 leave 1 2 68
19300 stay 0 4 63
19301 stay 0 5 25
19302 stay 0 3 35
19303 leave 1 4 51
19304 leave 1 NA 52
19305 leave 1 3 52
19306 stay 0 4 24
19307 stay 0 4 35
19308 leave 1 2 50
19309 don't know NA 3 72
19310 leave 1 2 50
19311 leave 1 3 25
19312 stay 0 3 22
19313 stay 0 2 40
19314 stay 0 5 26
19315 leave 1 2 59
19316 leave 1 2 51
19317 stay 0 1 62
19318 leave 1 2 48
19319 stay 0 4 25
19320 stay 0 NA 26
19321 stay 0 4 23
19322 stay 0 3 21
19323 stay 0 NA 72
19324 stay 0 4 22
19325 stay 0 4 23
19326 stay 0 2 58
19327 stay 0 4 24
19328 stay 0 4 22
19329 leave 1 1 76
19330 leave 1 1 76
19331 don't know NA NA 35
19332 leave 1 3 20
19333 leave 1 1 67
19334 don't know NA NA 22
19335 leave 1 4 22
19336 leave 1 4 25
19337 stay 0 4 22
19338 don't know NA 4 36
19339 leave 1 NA 23
19340 stay 0 4 55
19341 stay 0 4 23
19342 stay 0 3 23
19343 leave 1 2 51
19344 leave 1 NA 57
19345 leave 1 2 44
19346 don't know NA 4 67
19347 stay 0 NA 25
19348 stay 0 3 23
19349 stay 0 3 21
19350 leave 1 1 73
19351 leave 1 3 39
19352 stay 0 3 21
19353 stay 0 3 20
19354 leave 1 4 24
19355 leave 1 NA 47
19356 leave 1 4 24
19357 stay 0 3 58
19358 stay 0 4 26
19359 won't vote NA NA 25
19360 stay 0 1 76
19361 stay 0 2 67
19362 stay 0 3 44
19363 leave 1 4 64
19364 stay 0 4 23
19365 leave 1 2 58
19366 don't know NA NA 22
19367 stay 0 4 31
19368 leave 1 2 40
19369 stay 0 5 24
19370 stay 0 5 23
19371 stay 0 3 25
19372 leave 1 2 69
19373 leave 1 4 55
19374 don't know NA 1 65
19375 leave 1 2 66
19376 stay 0 2 70
19377 leave 1 2 61
19378 leave 1 4 23
19379 stay 0 4 25
19380 leave 1 5 24
19381 leave 1 2 67
19382 leave 1 2 65
19383 leave 1 3 61
19384 leave 1 2 65
19385 leave 1 NA 69
19386 leave 1 2 51
19387 stay 0 3 23
19388 don't know NA 4 29
19389 leave 1 NA 39
19390 won't vote NA 3 46
19391 stay 0 5 24
19392 stay 0 4 61
19393 stay 0 3 23
19394 stay 0 3 60
19395 leave 1 3 55
19396 don't know NA 4 54
19397 stay 0 2 67
19398 stay 0 4 27
19399 leave 1 4 52
19400 stay 0 3 38
19401 stay 0 3 41
19402 stay 0 2 65
19403 leave 1 5 26
19404 don't know NA 4 22
19405 leave 1 4 70
19406 don't know NA 2 45
19407 leave 1 4 74
19408 leave 1 2 31
19409 leave 1 3 52
19410 don't know NA 2 24
19411 stay 0 NA 23
19412 leave 1 1 71
19413 stay 0 3 20
19414 stay 0 3 21
19415 leave 1 1 68
19416 stay 0 3 26
19417 leave 1 2 42
19418 stay 0 4 23
19419 stay 0 3 51
19420 leave 1 4 46
19421 stay 0 3 20
19422 leave 1 2 68
19423 leave 1 3 54
19424 stay 0 4 21
19425 leave 1 4 30
19426 stay 0 1 72
19427 leave 1 1 43
19428 leave 1 3 67
19429 stay 0 2 67
19430 leave 1 NA 62
19431 don't know NA 2 55
19432 leave 1 5 27
19433 stay 0 4 24
19434 stay 0 3 21
19435 leave 1 1 32
19436 leave 1 3 68
19437 stay 0 3 24
19438 leave 1 NA 67
19439 leave 1 3 56
19440 leave 1 4 47
19441 leave 1 2 76
19442 stay 0 3 48
19443 stay 0 4 25
19444 stay 0 4 22
19445 stay 0 2 38
19446 leave 1 4 67
19447 won't vote NA 3 20
19448 leave 1 5 22
19449 stay 0 4 22
19450 leave 1 2 58
19451 leave 1 4 53
19452 stay 0 3 23
19453 stay 0 3 22
19454 stay 0 1 64
19455 leave 1 1 83
19456 stay 0 1 24
19457 stay 0 2 38
19458 don't know NA 4 55
19459 leave 1 4 21
19460 leave 1 3 25
19461 stay 0 4 28
19462 stay 0 5 23
19463 stay 0 4 63
19464 stay 0 1 26
19465 leave 1 4 49
19466 leave 1 2 54
19467 stay 0 3 21
19468 stay 0 4 28
19469 leave 1 2 35
19470 leave 1 2 68
19471 stay 0 3 20
19472 leave 1 2 23
19473 leave 1 NA 31
19474 leave 1 3 70
19475 leave 1 4 51
19476 won't vote NA 2 29
19477 don't know NA 1 69
19478 stay 0 3 20
19479 leave 1 4 24
19480 leave 1 3 49
19481 leave 1 NA 26
19482 leave 1 NA 21
19483 leave 1 2 42
19484 stay 0 4 21
19485 leave 1 2 71
19486 stay 0 4 24
19487 stay 0 2 51
19488 don't know NA NA 60
19489 stay 0 2 69
19490 leave 1 3 69
19491 leave 1 4 25
19492 leave 1 1 69
19493 stay 0 2 74
19494 leave 1 2 65
19495 leave 1 4 48
19496 leave 1 4 33
19497 don't know NA NA 40
19498 stay 0 4 26
19499 leave 1 2 44
19500 stay 0 4 22
19501 leave 1 3 20
19502 don't know NA 1 68
19503 stay 0 4 36
19504 stay 0 3 21
19505 stay 0 3 22
19506 stay 0 3 23
19507 leave 1 1 56
19508 stay 0 4 23
19509 leave 1 3 20
19510 leave 1 3 20
19511 stay 0 5 25
19512 stay 0 3 20
19513 stay 0 4 33
19514 leave 1 4 72
19515 stay 0 3 20
19516 stay 0 4 26
19517 don't know NA 4 38
19518 don't know NA 2 67
19519 leave 1 4 26
19520 stay 0 4 40
19521 leave 1 3 21
19522 don't know NA 4 30
19523 stay 0 NA 26
19524 won't vote NA 3 29
19525 leave 1 NA 35
19526 leave 1 NA 62
19527 leave 1 3 54
19528 don't know NA 4 57
19529 leave 1 2 67
19530 leave 1 NA 45
19531 stay 0 5 25
19532 don't know NA 3 25
19533 stay 0 3 31
19534 leave 1 3 60
19535 stay 0 3 25
19536 leave 1 NA 22
19537 stay 0 NA 20
19538 leave 1 1 60
19539 stay 0 4 22
19540 don't know NA 4 39
19541 don't know NA 3 30
19542 stay 0 4 23
19543 leave 1 2 69
19544 leave 1 4 57
19545 leave 1 2 36
19546 leave 1 NA 45
19547 leave 1 4 70
19548 leave 1 4 49
19549 leave 1 NA 24
19550 leave 1 2 64
19551 leave 1 2 64
19552 stay 0 3 49
19553 stay 0 4 36
19554 leave 1 1 67
19555 stay 0 3 53
19556 leave 1 2 61
19557 leave 1 2 48
19558 leave 1 4 22
19559 stay 0 2 46
19560 leave 1 2 69
19561 leave 1 1 48
19562 leave 1 3 44
19563 don't know NA 4 20
19564 stay 0 2 68
19565 leave 1 2 25
19566 stay 0 NA 36
19567 leave 1 2 64
19568 stay 0 4 24
19569 stay 0 3 21
19570 leave 1 4 28
19571 stay 0 4 25
19572 stay 0 2 35
19573 leave 1 2 46
19574 stay 0 4 53
19575 leave 1 NA 72
19576 stay 0 2 70
19577 leave 1 3 63
19578 leave 1 NA 45
19579 leave 1 4 55
19580 stay 0 2 20
19581 leave 1 3 20
19582 don't know NA 2 36
19583 stay 0 4 25
19584 stay 0 2 22
19585 stay 0 3 21
19586 leave 1 NA 28
19587 leave 1 2 76
19588 stay 0 4 26
19589 stay 0 3 51
19590 stay 0 4 30
19591 leave 1 3 41
19592 leave 1 4 26
19593 stay 0 3 20
19594 stay 0 5 23
19595 leave 1 2 48
19596 won't vote NA 3 18
19597 leave 1 2 68
19598 stay 0 4 24
19599 leave 1 1 75
19600 stay 0 2 71
19601 stay 0 3 21
19602 stay 0 3 66
19603 stay 0 3 20
19604 stay 0 3 54
19605 leave 1 4 48
19606 stay 0 3 21
19607 don't know NA 2 52
19608 stay 0 3 20
19609 don't know NA NA 63
19610 leave 1 2 57
19611 stay 0 3 21
19612 stay 0 3 21
19613 leave 1 2 70
19614 leave 1 1 20
19615 stay 0 NA 71
19616 leave 1 2 58
19617 leave 1 3 55
19618 stay 0 3 21
19619 stay 0 3 19
19620 leave 1 4 63
19621 leave 1 NA 20
19622 don't know NA 2 31
19623 stay 0 4 25
19624 stay 0 3 20
19625 leave 1 4 67
19626 stay 0 4 52
19627 leave 1 NA 33
19628 leave 1 3 46
19629 leave 1 4 25
19630 stay 0 3 20
19631 leave 1 1 58
19632 leave 1 1 32
19633 leave 1 3 60
19634 leave 1 2 70
19635 leave 1 4 32
19636 leave 1 3 60
19637 leave 1 1 70
19638 stay 0 3 67
19639 leave 1 2 41
19640 leave 1 2 60
19641 leave 1 1 62
19642 leave 1 2 69
19643 stay 0 5 72
19644 don't know NA 3 52
19645 leave 1 4 79
19646 leave 1 4 66
19647 leave 1 1 73
19648 won't vote NA NA 56
19649 leave 1 NA 65
19650 leave 1 1 65
19651 leave 1 NA 67
19652 leave 1 2 79
19653 leave 1 3 69
19654 don't know NA 3 25
19655 stay 0 2 67
19656 stay 0 NA 47
19657 leave 1 2 68
19658 leave 1 2 66
19659 leave 1 3 55
19660 don't know NA 2 56
19661 leave 1 2 56
19662 stay 0 2 80
19663 leave 1 3 58
19664 stay 0 2 57
19665 leave 1 4 36
19666 leave 1 1 69
19667 stay 0 3 24
19668 leave 1 2 66
19669 leave 1 NA 62
19670 stay 0 4 37
19671 leave 1 3 70
19672 stay 0 5 62
19673 stay 0 4 70
19674 don't know NA 2 54
19675 stay 0 4 63
19676 stay 0 4 48
19677 leave 1 4 36
19678 stay 0 3 58
19679 leave 1 3 22
19680 leave 1 4 63
19681 stay 0 5 25
19682 stay 0 4 24
19683 leave 1 3 52
19684 stay 0 4 61
19685 leave 1 4 44
19686 stay 0 3 70
19687 stay 0 4 25
19688 stay 0 4 68
19689 leave 1 4 80
19690 leave 1 2 55
19691 stay 0 4 24
19692 stay 0 4 24
19693 don't know NA 4 21
19694 won't vote NA 3 21
19695 leave 1 3 41
19696 stay 0 4 22
19697 stay 0 3 20
19698 leave 1 2 58
19699 leave 1 1 59
19700 leave 1 NA 77
19701 stay 0 NA 53
19702 leave 1 4 66
19703 don't know NA 4 45
19704 leave 1 4 73
19705 leave 1 3 19
19706 stay 0 2 69
19707 stay 0 4 25
19708 stay 0 4 22
19709 stay 0 3 20
19710 won't vote NA 4 25
19711 stay 0 2 69
19712 won't vote NA 3 20
19713 stay 0 NA 57
19714 leave 1 NA 59
19715 stay 0 4 22
19716 don't know NA 4 25
19717 stay 0 5 26
19718 leave 1 3 22
19719 stay 0 3 51
19720 leave 1 3 20
19721 stay 0 2 53
19722 stay 0 3 21
19723 leave 1 NA 24
19724 leave 1 2 64
19725 stay 0 2 22
19726 stay 0 4 25
19727 stay 0 4 26
19728 stay 0 2 62
19729 don't know NA 3 22
19730 stay 0 3 42
19731 won't vote NA 2 22
19732 stay 0 4 28
19733 leave 1 1 66
19734 stay 0 4 57
19735 leave 1 3 67
19736 stay 0 3 20
19737 leave 1 1 52
19738 stay 0 2 21
19739 leave 1 2 66
19740 stay 0 3 24
19741 stay 0 4 19
19742 leave 1 4 52
19743 leave 1 NA 60
19744 leave 1 3 47
19745 leave 1 3 46
19746 leave 1 3 62
19747 won't vote NA NA 49
19748 stay 0 NA 53
19749 leave 1 NA 68
19750 stay 0 4 25
19751 leave 1 3 20
19752 leave 1 NA 62
19753 leave 1 4 23
19754 stay 0 3 20
19755 leave 1 2 22
19756 leave 1 3 18
19757 leave 1 4 70
19758 don't know NA NA 21
19759 stay 0 NA 19
19760 leave 1 2 36
19761 stay 0 3 44
19762 stay 0 3 20
19763 stay 0 4 23
19764 leave 1 4 26
19765 stay 0 3 20
19766 stay 0 3 55
19767 stay 0 2 54
19768 stay 0 NA 72
19769 stay 0 4 26
19770 stay 0 4 62
19771 stay 0 3 20
19772 stay 0 4 26
19773 leave 1 NA 47
19774 leave 1 2 71
19775 leave 1 2 55
19776 stay 0 2 64
19777 don't know NA 4 23
19778 leave 1 3 20
19779 stay 0 3 22
19780 stay 0 3 53
19781 stay 0 3 20
19782 leave 1 3 20
19783 stay 0 NA 22
19784 leave 1 4 42
19785 leave 1 2 56
19786 stay 0 1 44
19787 stay 0 4 66
19788 leave 1 3 20
19789 leave 1 2 55
19790 stay 0 4 25
19791 stay 0 4 24
19792 don't know NA 3 43
19793 won't vote NA 4 23
19794 leave 1 5 23
19795 leave 1 NA 54
19796 stay 0 3 31
19797 leave 1 3 21
19798 stay 0 3 22
19799 leave 1 4 24
19800 stay 0 3 50
19801 stay 0 5 25
19802 stay 0 3 20
19803 leave 1 1 60
19804 leave 1 3 26
19805 stay 0 3 22
19806 stay 0 2 60
19807 stay 0 3 20
19808 leave 1 2 50
19809 leave 1 NA 22
19810 stay 0 3 25
19811 leave 1 4 23
19812 leave 1 3 25
19813 won't vote NA 4 23
19814 leave 1 4 34
19815 leave 1 3 21
19816 stay 0 3 21
19817 leave 1 4 22
19818 stay 0 4 26
19819 don't know NA 3 37
19820 stay 0 3 65
19821 stay 0 3 22
19822 stay 0 2 55
19823 leave 1 3 20
19824 leave 1 1 70
19825 don't know NA 4 26
19826 leave 1 3 61
19827 stay 0 1 22
19828 stay 0 3 18
19829 stay 0 4 22
19830 stay 0 3 20
19831 stay 0 1 52
19832 don't know NA 3 21
19833 stay 0 4 20
19834 leave 1 NA 22
19835 stay 0 3 20
19836 leave 1 3 25
19837 stay 0 5 24
19838 stay 0 NA 25
19839 won't vote NA 3 19
19840 won't vote NA 3 32
19841 stay 0 3 19
19842 leave 1 NA 37
19843 stay 0 2 54
19844 stay 0 3 19
19845 stay 0 3 22
19846 leave 1 NA 19
19847 stay 0 3 20
19848 leave 1 2 69
19849 leave 1 NA 46
19850 stay 0 4 25
19851 stay 0 NA 30
19852 stay 0 3 18
19853 don't know NA NA 24
19854 stay 0 2 18
19855 leave 1 4 22
19856 leave 1 3 33
19857 leave 1 2 18
19858 stay 0 3 19
19859 stay 0 2 19
19860 leave 1 3 19
19861 leave 1 3 23
19862 leave 1 3 20
19863 stay 0 4 21
19864 stay 0 3 20
19865 stay 0 2 18
19866 stay 0 4 24
19867 stay 0 3 68
19868 stay 0 3 37
19869 stay 0 2 50
19870 leave 1 2 68
19871 stay 0 4 50
19872 stay 0 2 64
19873 stay 0 3 78
19874 stay 0 4 64
19875 don't know NA NA 52
19876 stay 0 3 18
19877 stay 0 3 18
19878 stay 0 5 23
19879 stay 0 3 24
19880 stay 0 2 24
19881 stay 0 4 26
19882 stay 0 4 24
19883 stay 0 4 21
19884 stay 0 2 18
19885 stay 0 3 23
19886 stay 0 3 61
19887 stay 0 3 20
19888 stay 0 4 22
19889 leave 1 3 64
19890 stay 0 4 24
19891 don't know NA 4 23
19892 stay 0 4 63
19893 leave 1 2 23
19894 stay 0 3 21
19895 stay 0 4 22
19896 leave 1 4 24
19897 stay 0 4 82
19898 don't know NA 4 26
19899 stay 0 5 24
19900 stay 0 4 26
19901 stay 0 1 61
19902 leave 1 4 25
19903 leave 1 4 65
19904 leave 1 4 55
19905 leave 1 NA 40
19906 stay 0 5 24
19907 stay 0 2 72
19908 don't know NA 2 43
19909 stay 0 2 57
19910 won't vote NA NA 22
19911 stay 0 4 22
19912 stay 0 2 18
19913 stay 0 4 36
19914 stay 0 4 50
19915 leave 1 1 46
19916 leave 1 3 38
19917 leave 1 3 21
19918 don't know NA 4 25
19919 stay 0 4 26
19920 leave 1 3 21
19921 leave 1 2 68
19922 stay 0 3 21
19923 don't know NA 5 26
19924 leave 1 4 26
19925 don't know NA 3 18
19926 won't vote NA NA 21
19927 stay 0 1 67
19928 don't know NA 4 24
19929 stay 0 3 19
19930 stay 0 3 21
19931 stay 0 3 21
19932 stay 0 4 24
19933 stay 0 4 19
19934 stay 0 3 21
19935 stay 0 2 18
19936 stay 0 4 23
19937 leave 1 2 18
19938 stay 0 4 21
19939 stay 0 4 33
19940 stay 0 3 36
19941 leave 1 3 20
19942 stay 0 4 25
19943 stay 0 5 26
19944 stay 0 2 18
19945 stay 0 5 22
19946 stay 0 3 21
19947 stay 0 3 20
19948 leave 1 3 19
19949 don't know NA 3 28
19950 stay 0 3 18
19951 leave 1 3 67
19952 stay 0 3 19
19953 leave 1 NA 65
19954 leave 1 5 45
19955 stay 0 4 25
19956 leave 1 NA 44
19957 stay 0 3 86
19958 leave 1 3 42
19959 stay 0 5 24
19960 stay 0 NA 21
19961 stay 0 4 25
19962 stay 0 3 20
19963 stay 0 4 23
19964 stay 0 3 18
19965 stay 0 4 22
19966 stay 0 NA 22
19967 stay 0 4 22
19968 leave 1 3 36
19969 stay 0 3 26
19970 stay 0 2 66
19971 stay 0 4 23
19972 don't know NA 2 18
19973 won't vote NA 2 32
19974 stay 0 3 19
19975 don't know NA 2 50
19976 stay 0 3 20
19977 don't know NA 3 18
19978 stay 0 NA 21
19979 don't know NA NA 21
19980 stay 0 2 64
19981 stay 0 4 25
19982 leave 1 2 30
19983 leave 1 2 18
19984 leave 1 3 50
19985 leave 1 2 78
19986 stay 0 3 20
19987 leave 1 NA 27
19988 don't know NA 3 18
19989 leave 1 3 22
19990 stay 0 4 24
19991 stay 0 3 20
19992 stay 0 4 50
19993 leave 1 2 19
19994 stay 0 3 19
19995 stay 0 4 22
19996 stay 0 3 19
19997 won't vote NA NA 54
19998 stay 0 NA 19
19999 stay 0 3 20
20000 leave 1 4 54
20001 stay 0 NA 19
20002 stay 0 3 24
20003 don't know NA 2 18
20004 stay 0 4 24
20005 stay 0 1 24
20006 stay 0 4 65
20007 don't know NA 3 18
20008 stay 0 4 24
20009 leave 1 3 32
20010 leave 1 2 58
20011 stay 0 4 22
20012 stay 0 3 20
20013 leave 1 2 20
20014 stay 0 4 23
20015 stay 0 2 18
20016 stay 0 NA 24
20017 stay 0 4 23
20018 stay 0 5 24
20019 stay 0 4 22
20020 don't know NA 4 63
20021 stay 0 4 21
20022 stay 0 2 24
20023 leave 1 3 20
20024 don't know NA NA 45
20025 stay 0 4 55
20026 leave 1 3 19
20027 stay 0 4 25
20028 leave 1 1 74
20029 leave 1 3 23
20030 stay 0 4 22
20031 won't vote NA 2 31
20032 leave 1 2 63
20033 stay 0 3 20
20034 leave 1 3 20
20035 leave 1 1 34
20036 stay 0 3 25
20037 leave 1 4 20
20038 stay 0 4 25
20039 stay 0 4 24
20040 stay 0 4 19
20041 stay 0 4 26
20042 stay 0 4 26
20043 leave 1 4 26
20044 leave 1 NA 45
20045 leave 1 4 50
20046 stay 0 4 23
20047 leave 1 2 51
20048 stay 0 3 62
20049 stay 0 4 60
20050 leave 1 1 76
20051 leave 1 3 39
20052 stay 0 4 25
20053 leave 1 NA 24
20054 leave 1 NA 51
20055 leave 1 2 20
20056 leave 1 2 52
20057 stay 0 3 21
20058 leave 1 3 21
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20068 don't know NA 5 24
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20072 won't vote NA 4 59
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20090 don't know NA 2 19
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20098 don't know NA 3 21
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20102 don't know NA 2 68
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20107 leave 1 NA 29
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20151 leave 1 NA 22
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20154 leave 1 NA 70
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20166 leave 1 NA 74
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20222 leave 1 NA 51
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20224 leave 1 2 59
20225 leave 1 NA 58
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20229 leave 1 NA 42
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20232 leave 1 NA 51
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20235 leave 1 2 74
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20240 leave 1 NA 83
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20266 don't know NA 4 36
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20300 stay 0 2 80
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20302 leave 1 NA 64
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20310 stay 0 4 56
20311 stay 0 NA 84
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20345 don't know NA 4 37
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20363 leave 1 NA 57
20364 stay 0 4 40
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20397 leave 1 NA 72
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20431 don't know NA 1 84
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20434 leave 1 NA 32
20435 don't know NA 4 45
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20489 don't know NA 2 64
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20502 stay 0 NA 58
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20511 don't know NA 2 44
20512 stay 0 3 70
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20514 leave 1 2 69
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20516 stay 0 NA 52
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20519 don't know NA 4 62
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20523 leave 1 NA 68
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20547 won't vote NA 2 51
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20575 don't know NA NA 54
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20584 leave 1 NA 40
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20588 don't know NA 4 56
20589 leave 1 3 41
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20592 leave 1 3 58
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20596 leave 1 NA 62
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20628 leave 1 NA 61
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20639 don't know NA 4 56
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20732 don't know NA 4 45
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20786 don't know NA 2 48
20787 leave 1 2 64
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20807 don't know NA 4 37
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20837 leave 1 NA 37
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20846 don't know NA 4 52
20847 leave 1 2 49
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20850 stay 0 2 70
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20861 don't know NA 2 52
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20865 don't know NA 2 50
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20891 won't vote NA 2 43
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20900 don't know NA 1 61
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20902 leave 1 NA 38
20903 leave 1 NA 51
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20928 don't know NA 3 27
20929 stay 0 NA 54
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20979 won't vote NA 2 48
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21000 leave 1 3 51
21001 stay 0 4 35
21002 leave 1 4 40
21003 leave 1 3 65
21004 don't know NA 3 74
21005 stay 0 2 63
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21007 leave 1 1 57
21008 leave 1 3 61
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21010 don't know NA 4 25
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21012 leave 1 4 62
21013 don't know NA 3 61
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21027 leave 1 NA 51
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21048 leave 1 NA 71
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21051 leave 1 1 69
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21857 don't know NA 2 33
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22024 don't know NA 3 38
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22029 don't know NA 1 45
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22033 leave 1 3 52
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22039 don't know NA 2 40
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22044 leave 1 NA 44
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24841 don't know NA 4 37
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24922 don't know NA NA 41
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24928 don't know NA 3 46
24929 won't vote NA 2 44
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24931 don't know NA 5 44
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24941 don't know NA 4 56
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24950 don't know NA 2 51
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24970 stay 0 4 44
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24973 don't know NA 5 40
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24977 leave 1 2 71
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24980 leave 1 NA 58
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[ reached 'max' / getOption("max.print") -- omitted 5896 rows ]Question 1
Write the code you consider to answer the following questions (in tidyverse mode and as efficiently as possible). What is the sample size of the survey? How many variables do we have in the database? How many absentees are there in each variable? Hint: you must use across and define a function inside it
Question 1
Question 1
ANSWER: The sample size is 30895 and there are 4 variables (vote, leave, education and age). In addition, we can see in the table that there are 0 NAs for vote, 2851 for leave, 3425 for education and 0 for age.
Question 2
If you notice we have 2851 missings (
NAvalues) in theleavevariable (binary variable). Check that all of them the absent ones inleavecorrespond to the cases in which the variablevote(cuali variable) is equal todon't knownorwon't vote. See not onlycountbut alsotable()in R base.
Question 2
vote n freq
1 don't know 2314 0.811645
2 won't vote 537 0.188355Question 2
ANSWER: We see that 81,16% of the NAs in “leave” corresponds to “don’t know” in “vote” (2314) and the remaining 18,84% (537) to “won’t vote”.
Question 3
Build with tidyverse the two-dimensional frequency table of the variable
voteandeducationin the same way as done bytable().
Question 3
1 2 3 4 5
don't know 157 512 453 696 144
leave 1356 3388 2685 3783 631
stay 498 1763 3014 6081 1898
won't vote 34 118 120 116 23#with tidyverse
frequency_table <- brexit_data |>
group_by(vote, education) |>
summarise(count = n()) |>
pivot_wider(names_from = education, values_from = count, values_fill = 0)
print(frequency_table)# A tibble: 4 × 7
# Groups: vote [4]
vote `1` `2` `3` `4` `5` `NA`
<chr> <int> <int> <int> <int> <int> <int>
1 don't know 157 512 453 696 144 352
2 leave 1356 3388 2685 3783 631 1849
3 stay 498 1763 3014 6081 1898 1098
4 won't vote 34 118 120 116 23 126Question 3
Even making use of that (absolute) frequency table we can build the relative frequency table (normalizing by rows or by columns) with
prop.table(freq_table, margin = ...)(ifmargin = 1we normalize by rows, ifmargin = 2we normalize by columns).
Question 3
1 2 3 4 5
don't know 0.08002039 0.26095821 0.23088685 0.35474006 0.07339450
leave 0.11449802 0.28607616 0.22671620 0.31942920 0.05328042
stay 0.03757356 0.13301645 0.22740305 0.45880489 0.14320205
won't vote 0.08272506 0.28710462 0.29197080 0.28223844 0.05596107
1 2 3 4 5
don't know 0.076772616 0.088565992 0.072225765 0.065192956 0.053412463
leave 0.663080685 0.586057775 0.428093112 0.354346197 0.234050445
stay 0.243520782 0.304964539 0.480548469 0.569595354 0.704005935
won't vote 0.016625917 0.020411693 0.019132653 0.010865493 0.008531157Moral: most of the time tidyverse is better than R base but not always. Let’s not be radical of one way of doing things and don’t let what you learned in the first classes get rusty
Question 5
Using the tables above, answer the following questions
Question 5
- How many of the people who voted
leavehad the highest level of education?
ANSWER We need to use a relative frequency table (the first one by rows). 5,33% of people that voted “leave” had the highest level of education
Question 5
- Of the people with the lowest level of education, what percentage of people voted
leave?
ANSWER Now we need to use the second relative frequency table (by columns). Among the people with the lowest education, 66,31% voted “leave”
Question 5
- Of the people who voted
stay, what percentage of people had a level 4 education level?
ANSWER Again, we see the first table (by row). 45,88% of the people that voted “stay” had a 4 education level
Question 5
- What level of education was the least likely to vote?
ANSWER To find out who was the group that voted the least, we have to look at the first table and see answer “won’t vote”. We can conclude that that among those who were not going to vote, those who got the greater percetage of not wanting to vote were those in education 3 (almost 30%), followed by those in education 2 (28.7%) and those in education 4 (28.2%).
Question 6
What % did the poll estimate voted to remain in the European Union (result after the referendum was $51.89%)?
Question 6
Question 6
ANSWER: It’s estimated that the 51,1767% of the voters will vote for “stay in the EU” (we don’t consider people that don’t vote or don’t know)
Question 7
Calculates the average age of each of the options of the variable
vote.
Question 7
Question 7
ANSWER: The mean age is 48,3 for those that answered “don’t know”, 55,3 years for those who wanted to vote “leave”, 47,2 years for those who wanted to “stay” and 40,2 year (the youngest) for those who didn’t want to vote
Question 8
Calculates the % of people with
high education(education = 5) who voted for each option (among the total number of people who voted for that option).
Question 8
high_ed <- brexit_data |>
group_by(vote) |>
summarise(high_ed = sum(education == "5", na.rm=TRUE),
total = n()) |>
mutate (division = (high_ed/total)*100)
print(high_ed)# A tibble: 4 × 4
vote high_ed total division
<chr> <int> <int> <dbl>
1 don't know 144 2314 6.22
2 leave 631 13692 4.61
3 stay 1898 14352 13.2
4 won't vote 23 537 4.28Question 8
ANSWER: 6,22% of high educated (among all educational levels) didn’t know what to do, 4,61% wanted to vote “leave”, 13,2% wanted to “stay” and 4,28% wouldn’t vote
Question 9
The
{corrr}package offers some tools to measure the linear correlation between two variables beyond thecor()function of R base (see also{corrplot}to visualize correlations)
Question 9
Question 9
Calculate the correlation matrix in our table (among the variables that can be calculated), in which variables is a linear association apparent? In those where it is seen, is it sufficient to conclude that there is causality? For those where it is not apparent, is it sufficient to conclude that there is no association?
Question 9
Question 9
ANSWER:The relationship between all variables is generally low because it is closer to 0 than 1. Between education and choosing “leave” the relationship is moderate and negative (-0,28086); that means: the greater the education, the less likely it is to vote “leave”. Between age and choosing “leave” the relationship is moderate and positive (0,2402), meaning the older you are, the more likely you are to vote “leave”. Between education and age the relationship is even lower and negative (-0,1977), that is: the older the age, the lower the educational level…
Question 9
Continuing… As a result of this, we cannot say that these variables are correlated because we would need to check the p-value in order to see if the relationship is significative…and also the relation is very low. Nor couldn’t we talk of causality because we would not be able to know which variable causes what (endogeneity). We should also control all variables at the same time (with a regression) and even more variables (for example income, ideology, etc). Perhaps in this way, by controlling more variables at the same time, the association can become even weaker or stronger.
Question 9
The
cor.test(var1, var2)function provides us with a correlation test to obtain in a more quantitative way the absence or possible presence of a linear relationship. Every test inRis of classhtestand has a variable inside where it stores the p-value calledp.value.
Question 9
Pearson's product-moment correlation
data: starwars$height and starwars$mass
t = 0.99653, df = 57, p-value = 0.3232
alternative hypothesis: true correlation is not equal to 0
95 percent confidence interval:
-0.1295651 0.3743950
sample estimates:
cor
0.130859 [1] 0.3232031Question 9
Pearson's product-moment correlation
data: brexit_data$leave and brexit_data$education
t = -46.359, df = 25095, p-value < 2.2e-16
alternative hypothesis: true correlation is not equal to 0
95 percent confidence interval:
-0.2922230 -0.2694306
sample estimates:
cor
-0.2808664 ANSWER: P-value < 2,2e-16. Significative relationship between voting Leave and Education
Question 9
Pearson's product-moment correlation
data: brexit_data$leave and brexit_data$age
t = 41.441, df = 28042, p-value < 2.2e-16
alternative hypothesis: true correlation is not equal to 0
95 percent confidence interval:
0.2291652 0.2512224
sample estimates:
cor
0.2402248 ANSWER: P-value < 2,2e-16. Significative relationship between voting Leave and Age
Question 9
Pearson's product-moment correlation
data: brexit_data$education and brexit_data$age
t = -33.428, df = 27468, p-value < 2.2e-16
alternative hypothesis: true correlation is not equal to 0
95 percent confidence interval:
-0.2090513 -0.1863246
sample estimates:
cor
-0.1977145 ANSWER: P-value < 2,2e-16. Significative relationship between Education and Age There’s a significative relationship between the variables, but it’s low or moderate for all of them (as we saw before)
Question 9
Obtain a summary table in tidivyse mode with the p-values of the correlation test applied to the variables leave vs education, leave vs age and education vs age, and draw conclusions at \(\alpha = 0.05\) confidence level.
Question 9
library(broom)
correlation_tests <- list(
leave_vs_education = list(var1 = brexit_data$leave, var2 = brexit_data$education),
leave_vs_age = list(var1 = brexit_data$leave, var2 = brexit_data$age),
education_vs_age = list(var1 = brexit_data$education, var2 = brexit_data$age)
)
correlation_summary <- map_dfr(
correlation_tests,
~ cor.test(.x$var1, .x$var2) %>% tidy(),
.id = "comparison"
)
print(correlation_summary)# A tibble: 3 × 9
comparison estimate statistic p.value parameter conf.low conf.high method
<chr> <dbl> <dbl> <dbl> <int> <dbl> <dbl> <chr>
1 leave_vs_edu… -0.281 -46.4 0 25095 -0.292 -0.269 Pears…
2 leave_vs_age 0.240 41.4 0 28042 0.229 0.251 Pears…
3 education_vs… -0.198 -33.4 3.50e-240 27468 -0.209 -0.186 Pears…
# ℹ 1 more variable: alternative <chr>Question 9
ANSWER: As already mentioned, the relationship is statistically significant between all the variables (leave, age and education), which is why they are associated. However, this association is low/moderate.
Question 10
The above only tells us about the possible linear relationship between two variables (which must also be quantitative). However, the variable
voteis qualitative and the variableeducationis actually also qualitative (ordinal qualitative). To convert a variable to qualitative inRwe must convert it to what is known as afactorfor havin somelevelsthat indicate the possible modalities of our qualitative variable. In the case ofeducationit is even qualitative ORDINAL so we will have to specify concretely which levels we have and which order of hierarchy. We can assign numerical levels or even include a label.
Question 10
brexit_data <- brexit_data |>
mutate(
education = factor(
education,
levels = c(1, 2, 3, 4, 5),
labels = c("No Education", "Primary", "High School", "College", "Posgraduates"),
ordered = TRUE
)
)
class(brexit_data$education)[1] "ordered" "factor" [1] "No Education" "Primary" "High School" "College" "Posgraduates"Question 10
With the variable
educationconverted to ordinal qualitative andvoteconverted to nominal qualitative, determine the association between the two usingchisq.test()orfisher.test(). The latter is for small samples so in this case we will use the former; save it in a summary table in tidyverse mode, and draw conclusions.
Question 10
Pearson's Chi-squared test
data: brexit_data$education and brexit_data$vote
X-squared = 2109.1, df = 12, p-value < 2.2e-16# A tibble: 1 × 4
statistic p.value parameter method
<dbl> <dbl> <int> <chr>
1 2109. 0 12 Pearson's Chi-squared testQuestion 10
ANSWER There’s a significative relationship between the level of education and wanting to vote “leave the EU” because the p-value (<2,2e-16) is smaller than 0,05 (confidence level), so we can reject H0 (no significant relation) and accept H1 (significative relation)
Question 11
We are going to load from the same repository the file with the global data disaggregated by districts.
brexit_data_district <- read.csv("https://raw.githubusercontent.com/ellaudet/DSS/master/UK_districts.csv")
brexit_data_district name leave high_education
1 Birmingham 50.42 22.98
2 Cardiff 39.98 32.33
3 Edinburgh City 25.56 21.92
4 Glasgow City 33.41 25.91
5 Liverpool 41.81 22.44
6 Swansea 51.51 25.85
7 City of London 24.71 68.36
8 Leeds 49.69 26.94
9 Cornwall 56.52 24.99
10 Sheffield 50.99 25.66
11 County Durham 57.55 21.46
12 Wiltshire 52.49 29.49
13 Bradford 54.23 21.84
14 Manchester 39.64 28.90
15 Bristol, City of 38.27 32.78
16 Kirklees 54.67 23.87
17 Cheshire East 51.18 31.95
18 Fife 41.41 23.79
19 East Riding of Yorkshire 60.40 25.87
20 Cheshire West and Chester 50.68 29.36
21 North Lanarkshire 38.34 17.16
22 South Lanarkshire 36.92 22.04
23 Wakefield 66.36 18.35
24 Croydon 45.71 31.77
25 Dudley 67.60 19.17
26 Wirral 48.30 25.26
27 Northumberland 54.11 25.57
28 Shropshire 56.87 27.50
29 Wigan 63.90 19.54
30 Bromley 49.35 33.08
31 Barnet 37.77 40.34
32 Sandwell 66.72 15.36
33 Coventry 55.60 23.05
34 Stockport 47.67 29.81
35 Wandsworth 24.97 53.57
36 Doncaster 68.96 17.03
37 Leicester 48.92 21.19
38 Ealing 39.60 37.04
39 Lambeth 21.38 46.62
40 South Gloucestershire 52.68 26.69
41 Sunderland 61.34 18.18
42 Sefton 48.13 24.06
43 Central Bedfordshire 56.13 27.27
44 Enfield 44.18 28.72
45 Brighton and Hove 31.38 36.86
46 Rotherham 67.89 17.39
47 Lewisham 30.14 38.00
48 Bolton 58.29 22.16
49 Aberdeenshire 44.99 26.96
50 Southwark 27.19 43.07
51 Nottingham 50.84 21.94
52 Walsall 67.86 16.89
53 Hillingdon 56.37 28.04
54 Medway 64.08 19.13
55 Newcastle upon Tyne 49.30 27.16
56 Redbridge 46.03 33.92
57 Plymouth 59.94 21.46
58 Brent 40.26 33.25
59 Havering 69.66 19.44
60 Kingston upon Hull, City of 67.62 15.23
61 Stoke-on-Trent 69.36 15.47
62 Milton Keynes 51.41 28.22
63 Newham 47.16 30.14
64 Barnsley 68.31 17.38
65 Highland 44.05 26.37
66 Wolverhampton 62.57 19.51
67 Salford 56.81 22.30
68 Rhondda Cynon Taf 53.70 19.55
69 Derby 57.22 24.21
70 Bexley 62.95 21.77
71 Greenwich 44.41 33.20
72 Tameside 61.14 17.55
73 Tower Hamlets 32.54 41.03
74 Trafford 42.31 33.78
75 Hounslow 48.94 34.56
76 Hackney 21.52 41.81
77 Waltham Forest 40.90 29.99
78 Harrow 45.37 36.76
79 North Somerset 52.17 28.35
80 Solihull 56.16 28.53
81 Southampton 53.80 24.62
82 Oldham 60.86 18.61
83 Warrington 54.27 27.45
84 North Tyneside 53.40 25.28
85 Rochdale 60.07 19.39
86 York 41.96 32.40
87 Aberdeen City 38.90 33.16
88 Haringey 24.43 40.78
89 Calderdale 55.68 24.98
90 Swindon 54.66 22.71
91 Gateshead 56.85 21.50
92 Camden 25.06 50.55
93 Northampton 58.38 23.67
94 Islington 24.78 48.05
95 Bury 54.12 25.68
96 Stockton-on-Tees 61.73 22.82
97 New Forest 57.76 27.24
98 Portsmouth 58.08 23.69
99 Sutton 53.72 30.08
100 Carmarthenshire 53.75 23.90
101 Herefordshire, County of 59.22 27.49
102 Bath and North East Somerset 42.15 33.40
103 Merton 37.06 41.09
104 Aylesbury Vale 50.50 31.96
105 St. Helens 58.02 20.87
106 Charnwood 53.81 26.77
107 Basildon 68.62 18.63
108 Bournemouth 54.88 26.38
109 Richmond upon Thames 30.71 53.04
110 West Lothian 41.75 21.47
111 Caerphilly 57.63 18.66
112 Chelmsford 52.83 28.80
113 Southend-on-Sea 58.08 21.83
114 Basingstoke and Deane 51.90 30.45
115 Huntingdonshire 54.24 27.92
116 Luton 56.55 22.25
117 Colchester 53.60 27.16
118 Renfrewshire 35.19 23.06
119 South Somerset 57.25 25.05
120 Wycombe 48.03 33.56
121 Telford and Wrekin 63.22 20.92
122 North Lincolnshire 66.30 19.53
123 Wokingham 43.31 39.98
124 Wealden 54.50 28.88
125 Peterborough 60.89 20.24
126 Westminster 31.03 50.29
127 Harrogate 49.03 34.10
128 Bedford 51.78 28.14
129 Falkirk 43.24 20.24
130 Maidstone 58.75 25.63
131 Arun 62.48 22.77
132 West Berkshire 48.22 32.11
133 North East Lincolnshire 69.87 16.21
134 Flintshire 56.37 22.44
135 South Tyneside 62.05 19.24
136 Dumfries and Galloway 46.94 24.81
137 Barking and Dagenham 62.44 20.87
138 Hammersmith and Fulham 29.98 49.56
139 South Cambridgeshire 39.77 40.10
140 King's Lynn and West Norfolk 66.40 19.13
141 Poole 58.17 25.53
142 Braintree 61.13 22.20
143 East Devon 54.11 29.08
144 Knowsley 51.56 15.46
145 Tendring 69.50 15.88
146 Perth and Kinross 38.91 30.36
147 Thurrock 72.28 17.44
148 Isle of Wight 61.95 22.63
149 Canterbury 51.04 27.30
150 Dacorum 50.67 30.93
151 Kingston upon Thames 38.39 41.44
152 Mid Sussex 46.91 33.63
153 Cherwell 50.31 28.06
154 East Lindsey 70.65 18.06
155 East Hertfordshire 50.36 33.47
156 Neath Port Talbot 56.84 18.79
157 Dundee City 40.22 17.92
158 South Kesteven 59.93 25.64
159 Newport 55.99 23.38
160 St Albans 37.29 46.34
161 North Ayrshire 43.12 19.65
162 Bridgend 54.64 22.56
163 Horsham 48.54 32.61
164 South Oxfordshire 45.02 36.71
165 Teignbridge 53.90 27.97
166 Reigate and Banstead 50.49 33.96
167 Redcar and Cleveland 66.19 18.93
168 Powys 53.74 26.34
169 Reading 41.97 34.79
170 Warwick 41.22 38.44
171 Torbay 63.16 20.65
172 Windsor and Maidenhead 46.10 38.40
173 South Norfolk 51.69 27.04
174 Blackpool 67.46 15.51
175 Swale 62.46 18.92
176 Guildford 43.83 39.52
177 Lancaster 51.08 27.21
178 Blackburn with Darwen 56.34 19.82
179 Epping Forest 62.69 25.34
180 Stafford 55.99 30.28
181 North Hertfordshire 45.63 34.42
182 Broadland 54.37 23.18
183 Thanet 63.85 19.61
184 Breckland 64.22 18.65
185 Elmbridge 40.47 43.85
186 Wrexham 59.04 22.79
187 Suffolk Coastal 53.00 28.98
188 Stratford-on-Avon 51.56 33.38
189 Oxford 29.73 42.59
190 Eastleigh 52.45 27.91
191 Amber Valley 60.28 23.15
192 Norwich 43.76 27.73
193 Havant 62.36 22.28
194 Halton 57.42 17.65
195 Vale of Glamorgan 49.27 29.78
196 Middlesbrough 65.48 18.54
197 Test Valley 51.94 30.53
198 Wychavon 57.86 28.72
199 Vale of White Horse 43.30 37.21
200 Preston 53.31 24.62
201 Nuneaton and Bedworth 66.01 18.57
202 Tonbridge and Malling 55.70 27.10
203 Newcastle-under-Lyme 63.04 22.49
204 Stroud 45.39 32.87
205 Waverley 41.61 40.14
206 Pembrokeshire 57.14 24.76
207 East Ayrshire 41.40 34.81
208 Ashfield 69.84 15.09
209 Chichester 50.92 32.39
210 Ipswich 58.26 20.63
211 Conwy 53.98 25.47
212 East Hampshire 49.48 33.87
213 Ashford 59.43 24.63
214 Waveney 62.90 17.88
215 Fareham 55.10 29.75
216 Sedgemoor 61.20 22.12
217 Gloucester 58.50 22.20
218 Winchester 41.07 40.66
219 Scottish Borders 41.53 27.00
220 Gedling 55.55 25.33
221 South Ayrshire 41.04 25.15
222 Slough 54.33 25.84
223 Erewash 61.23 20.68
224 Newark and Sherwood 60.39 24.16
225 Sevenoaks 54.38 31.98
226 Angus 44.74 23.63
227 Cheltenham 43.83 36.23
228 North Kesteven 62.26 25.43
229 Exeter 44.72 28.56
230 Rushcliffe 42.45 38.99
231 West Lancashire 55.31 25.35
232 South Staffordshire 64.85 25.09
233 Bassetlaw 67.83 20.24
234 Hinckley and Bosworth 60.33 24.06
235 Bracknell Forest 53.94 30.31
236 Mendip 48.93 27.87
237 Dover 62.15 21.96
238 Gwynedd 41.95 26.43
239 South Ribble 58.56 26.40
240 Wyre 63.77 22.98
241 Taunton Deane 52.92 28.13
242 Chorley 56.83 27.83
243 Broxtowe 54.65 28.24
244 East Staffordshire 63.21 23.38
245 North Norfolk 58.91 22.26
246 Kensington and Chelsea 31.31 52.68
247 East Dunbartonshire 28.60 26.98
248 Scarborough 61.99 22.69
249 West Oxfordshire 46.34 32.91
250 Tunbridge Wells 45.11 34.64
251 West Dorset 51.03 30.75
252 South Lakeland 47.14 33.35
253 Worthing 52.99 25.96
254 St Edmundsbury 56.62 24.57
255 Shepway 62.25 21.77
256 Lichfield 58.81 28.42
257 Carlisle 60.14 22.20
258 Cambridge 26.15 47.33
259 Chesterfield 60.04 21.02
260 Staffordshire Moorlands 64.73 23.74
261 North East Derbyshire 62.78 22.18
262 Mid Suffolk 55.23 26.44
263 Welwyn Hatfield 52.99 30.01
264 Wyre Forest 63.15 22.07
265 East Lothian 35.40 35.24
266 Darlington 56.18 23.72
267 Mansfield 70.86 16.36
268 Lewes 47.93 29.42
269 North Devon 57.04 22.92
270 Denbighshire 54.00 24.24
271 Cannock Chase 68.86 17.22
272 Allerdale 58.65 22.77
273 Bromsgrove 55.37 30.54
274 Rugby 56.70 28.18
275 Dartford 64.22 22.05
276 North West Leicestershire 60.70 24.28
277 South Derbyshire 60.35 25.95
278 Blaby 59.47 24.87
279 Crawley 58.41 21.54
280 Worcester 53.68 27.66
281 West Lindsey 61.82 25.28
282 Hertsmere 50.84 30.80
283 Gravesham 65.38 19.96
284 Rother 58.53 25.46
285 Spelthorne 60.30 25.95
286 Great Yarmouth 71.50 14.21
287 High Peak 50.55 29.41
288 East Dorset 57.62 27.68
289 Eastbourne 57.33 24.42
290 Monmouthshire 49.56 33.08
291 Fenland 71.39 14.88
292 Moray 49.87 22.71
293 Woking 43.85 38.36
294 South Northamptonshire 54.34 31.05
295 Babergh 54.19 25.81
296 Kettering 60.99 23.27
297 Hartlepool 69.57 17.60
298 Chiltern 44.98 40.96
299 Hambleton 53.66 32.06
300 Hart 47.60 37.49
301 East Renfrewshire 25.68 41.44
302 South Hams 47.15 34.27
303 Broxbourne 66.26 19.23
304 Torfaen 59.78 20.28
305 Castle Point 72.70 14.62
306 Cotswold 48.90 33.65
307 East Northamptonshire 58.76 24.24
308 Tewkesbury 53.25 30.18
309 West Dunbartonshire 38.01 16.51
310 Harborough 50.75 31.84
311 Three Rivers 51.27 33.91
312 Midlothian 37.94 21.05
313 Mole Valley 46.92 37.94
314 Forest of Dean 58.58 23.97
315 Argyll and Bute 39.43 28.86
316 Rochford 66.61 20.01
317 Stirling 32.28 33.30
318 Rushmoor 58.21 24.71
319 South Holland 73.59 15.79
320 Surrey Heath 50.98 34.47
321 Selby 59.17 26.10
322 Watford 50.27 32.20
323 Uttlesford 50.68 31.94
324 Pendle 63.15 20.23
325 Burnley 66.61 18.73
326 Tandridge 52.84 32.97
327 Lincoln 56.94 21.29
328 Gosport 63.86 21.48
329 East Cambridgeshire 50.92 29.02
330 Stevenage 59.25 22.08
331 Hyndburn 66.19 18.93
332 Hastings 54.88 21.23
333 Fylde 56.96 29.77
334 Redditch 62.29 20.70
335 Daventry 58.60 28.81
336 Mid Devon 53.34 26.45
337 Malvern Hills 52.16 33.93
338 Harlow 68.10 17.63
339 Brentwood 59.15 30.68
340 Inverclyde 36.20 19.74
341 Runnymede 54.26 29.92
342 Bolsover 70.83 15.84
343 Derbyshire Dales 51.56 33.42
344 Tamworth 67.47 17.42
345 Epsom and Ewell 47.92 35.98
346 Wellingborough 62.42 20.39
347 Copeland 62.00 21.00
348 Ceredigion 45.37 27.92
349 Barrow-in-Furness 60.62 18.99
350 North Dorset 56.40 26.92
351 Torridge 60.83 21.67
352 Rossendale 60.68 25.13
353 South Bucks 50.70 36.86
354 Isle of Anglesey 50.94 26.08
355 Blaenau Gwent 62.03 15.16
356 Weymouth and Portland 61.04 22.48
357 North Warwickshire 66.88 19.78
358 Maldon 62.58 23.64
359 Adur 54.57 21.99
360 Ribble Valley 56.39 33.98
361 Craven 52.83 31.76
362 West Devon 53.20 30.03
363 Corby 64.25 14.91
364 Merthyr Tydfil 56.44 17.75
365 Oadby and Wigston 54.58 24.75
366 Eden 53.32 27.42
367 Ryedale 55.26 27.30
368 Boston 75.56 15.13
369 Christchurch 58.83 25.15
370 Forest Heath 64.97 19.15
371 Clackmannanshire 42.22 21.51
372 Melton 58.11 26.15
373 Richmondshire 56.78 26.96
374 Purbeck 59.07 25.71
375 Rutland 50.57 32.90
376 West Somerset 60.59 24.85
377 Eilean Siar 44.76 26.41
378 Shetland Islands 43.49 26.63
379 Orkney Islands 36.84 26.54
380 Isles of Scilly 43.61 33.01
381 NA NA
382 NA NAQuestion 11
Import from wikipedia (take a look at the slides) the population table of the districts of England (with normalized variable names and population as numeric variable). Keep only the columns
districtandpopulation
Wikipedia link: https://en.wikipedia.org/wiki/List_of_English_districts_by_population
Question 11
library(rvest)
url_en <- "https://en.wikipedia.org/wiki/List_of_English_districts_by_population"
pop_en <- url_en |> read_html() |>
html_element("table") |>
html_table() |>
select (District, Population)|>
rename (Region = District,
Value = Population) |>
mutate(Value = as.numeric(gsub(",", "", Value)))
pop_en# A tibble: 296 × 2
Region Value
<chr> <dbl>
1 Birmingham 1157603
2 Leeds 822483
3 North Yorkshire 623501
4 Somerset 576852
5 Cornwall 575413
6 Manchester 568996
7 Sheffield 566242
8 Buckinghamshire 560409
9 Bradford 552644
10 County Durham 528127
# ℹ 286 more rowsQuestion 12
Repeat the process for the rest of the big UK territories that you can find info on (Scotland, Northern Ireland and Wales). Rename the variables appropriately so that you can concatenate them below the table above and get a general
pop_UKtable with as many districts as you can.
Question 12
# wales
url_wales <- "https://www.indexmundi.com/facts/united-kingdom/quick-facts/wales/population#tableTab"
wales <- read_html(url_wales)
pop_wal <- html_table(wales, fill=TRUE)
pop_wal <- as.tibble(pop_wal[[3]])
pop_wal <- pop_wal |>
mutate(Value = as.numeric(gsub(",", "", Value)),
Region = str_remove(Region, " UA$")) #delete suffixes to avoid problems in join (next exercise)
pop_wal# A tibble: 22 × 2
Region Value
<chr> <dbl>
1 Blaenau Gwent 68368
2 Bridgend 134564
3 Caerphilly 173124
4 Cardiff 341054
5 Carmarthenshire 180717
6 Ceredigion 76938
7 Conwy 110863
8 Denbighshire 96731
9 Flintshire 149709
10 Gwynedd 119007
# ℹ 12 more rowsQuestion 12
#scotland
url_scotland <- "https://www.indexmundi.com/facts/united-kingdom/quick-facts/scotland/population#tableTab"
scotland <- read_html(url_scotland)
pop_sc <- html_table(scotland, fill=TRUE)
pop_sc <- as.tibble(pop_sc[[3]])
pop_sc <- pop_sc |>
mutate(Value = as.numeric(gsub(",", "", Value)))
pop_sc# A tibble: 32 × 2
Region Value
<chr> <dbl>
1 Aberdeen City 217120
2 Aberdeenshire 245780
3 Angus 110570
4 Argyll & Bute 89200
5 City of Edinburgh 486120
6 Clackmannanshire 50630
7 Dumfries & Galloway 148190
8 Dundee City 144290
9 East Ayrshire 120240
10 East Dunbartonshire 104580
# ℹ 22 more rowsQuestion 12
#northern irland
url_nirl <- "https://www.indexmundi.com/facts/united-kingdom/quick-facts/northern-ireland/population#tableTab"
n_irl <- read_html(url_nirl)
pop_nirl <- html_table(n_irl, fill=TRUE)
pop_nirl <- as.tibble (pop_nirl[[3]])
pop_nirl <- pop_nirl |>
mutate(Value = as.numeric(gsub(",", "", Value)))
pop_nirl# A tibble: 26 × 2
Region Value
<chr> <dbl>
1 Antrim 54145
2 Ards 78248
3 Armagh 59441
4 Ballymena 63451
5 Ballymoney 30564
6 Banbridge 47955
7 Belfast 268745
8 Carrickfergus 40158
9 Castlereagh 67029
10 Coleraine 56790
# ℹ 16 more rowsQuestion 12
# A tibble: 376 × 2
Region Value
<chr> <dbl>
1 Birmingham 1157603
2 Leeds 822483
3 North Yorkshire 623501
4 Somerset 576852
5 Cornwall 575413
6 Manchester 568996
7 Sheffield 566242
8 Buckinghamshire 560409
9 Bradford 552644
10 County Durham 528127
# ℹ 366 more rowsQuestion 12
Atention: The Brexit database does not contain information for Northern Ireland, so in the join we lose this information and from now on we will speak of the United Kingdom as the union of England, Scotland and Wales
Question 13
Incorporate the population information into the district table so that we only have those records for which we have Brexit and population information (both sources of information, i.e., keeping only the districts of regions that you find).
Question 13
brexit_data_district <- read.csv("https://raw.githubusercontent.com/ellaudet/DSS/master/UK_districts.csv")
#we want to keep only the records which we have Brexit and population information, that why we are using inner_join
data_brexit <- brexit_data_district |>
inner_join(pop_uk, by = c("name"="Region"))
data_brexit name leave high_education Value
1 Birmingham 50.42 22.98 1157603
2 Cardiff 39.98 32.33 341054
3 Glasgow City 33.41 25.91 592820
4 Liverpool 41.81 22.44 496770
5 Swansea 51.51 25.85 232501
6 City of London 24.71 68.36 10847
7 Leeds 49.69 26.94 822483
8 Cornwall 56.52 24.99 575413
9 Sheffield 50.99 25.66 566242
10 County Durham 57.55 21.46 528127
11 Wiltshire 52.49 29.49 515885
12 Bradford 54.23 21.84 552644
13 Manchester 39.64 28.90 568996
14 Kirklees 54.67 23.87 437593
15 Cheshire East 51.18 31.95 406527
16 Fife 41.41 23.79 365020
17 East Riding of Yorkshire 60.40 25.87 346309
18 Cheshire West and Chester 50.68 29.36 361694
19 North Lanarkshire 38.34 17.16 326360
20 South Lanarkshire 36.92 22.04 311880
21 Wakefield 66.36 18.35 357729
22 Croydon 45.71 31.77 392224
23 Dudley 67.60 19.17 324969
24 Wirral 48.30 25.26 322453
25 Northumberland 54.11 25.57 324362
26 Shropshire 56.87 27.50 327178
27 Wigan 63.90 19.54 334110
28 Bromley 49.35 33.08 329578
29 Barnet 37.77 40.34 389101
30 Sandwell 66.72 15.36 344210
31 Coventry 55.60 23.05 355600
32 Stockport 47.67 29.81 297107
33 Wandsworth 24.97 53.57 329035
34 Doncaster 68.96 17.03 311027
35 Leicester 48.92 21.19 373399
36 Ealing 39.60 37.04 369937
37 Lambeth 21.38 46.62 316812
38 South Gloucestershire 52.68 26.69 294765
39 Sunderland 61.34 18.18 277354
40 Sefton 48.13 24.06 281027
41 Central Bedfordshire 56.13 27.27 301501
42 Enfield 44.18 28.72 327224
43 Brighton and Hove 31.38 36.86 277965
44 Rotherham 67.89 17.39 268354
45 Lewisham 30.14 38.00 298653
46 Bolton 58.29 22.16 298903
47 Aberdeenshire 44.99 26.96 245780
48 Southwark 27.19 43.07 311913
49 Nottingham 50.84 21.94 328513
50 Walsall 67.86 16.89 286105
51 Hillingdon 56.37 28.04 310681
52 Medway 64.08 19.13 282702
53 Newcastle upon Tyne 49.30 27.16 307565
54 Redbridge 46.03 33.92 310911
55 Plymouth 59.94 21.46 266862
56 Brent 40.26 33.25 341221
57 Havering 69.66 19.44 264703
58 Stoke-on-Trent 69.36 15.47 259965
59 Milton Keynes 51.41 28.22 292180
60 Newham 47.16 30.14 358645
61 Barnsley 68.31 17.38 246482
62 Highland 44.05 26.37 221630
63 Wolverhampton 62.57 19.51 267651
64 Salford 56.81 22.30 278064
65 Derby 57.22 24.21 263490
66 Bexley 62.95 21.77 247835
67 Greenwich 44.41 33.20 291080
68 Tameside 61.14 17.55 232753
69 Tower Hamlets 32.54 41.03 325789
70 Trafford 42.31 33.78 236301
71 Hounslow 48.94 34.56 290488
72 Hackney 21.52 41.81 261491
73 Waltham Forest 40.90 29.99 275887
74 Harrow 45.37 36.76 261185
75 North Somerset 52.17 28.35 219145
76 Solihull 56.16 28.53 217678
77 Southampton 53.80 24.62 252689
78 Oldham 60.86 18.61 243912
79 Warrington 54.27 27.45 211580
80 North Tyneside 53.40 25.28 210487
81 Rochdale 60.07 19.39 226992
82 York 41.96 32.40 204551
83 Aberdeen City 38.90 33.16 217120
84 Haringey 24.43 40.78 261811
85 Calderdale 55.68 24.98 207699
86 Swindon 54.66 22.71 235657
87 Gateshead 56.85 21.50 197722
88 Camden 25.06 50.55 218049
89 Islington 24.78 48.05 220373
90 Bury 54.12 25.68 194606
91 Stockton-on-Tees 61.73 22.82 199966
92 New Forest 57.76 27.24 175942
93 Portsmouth 58.08 23.69 208420
94 Sutton 53.72 30.08 210053
95 Carmarthenshire 53.75 23.90 180717
96 Bath and North East Somerset 42.15 33.40 195618
97 Merton 37.06 41.09 214709
98 Charnwood 53.81 26.77 184748
99 Basildon 68.62 18.63 188848
100 Richmond upon Thames 30.71 53.04 194894
101 West Lothian 41.75 21.47 172080
102 Caerphilly 57.63 18.66 173124
103 Chelmsford 52.83 28.80 183326
104 Southend-on-Sea 58.08 21.83 180915
105 Basingstoke and Deane 51.90 30.45 187817
106 Huntingdonshire 54.24 27.92 184052
107 Luton 56.55 22.25 226973
108 Colchester 53.60 27.16 194394
109 Renfrewshire 35.19 23.06 170250
110 Telford and Wrekin 63.22 20.92 188871
111 North Lincolnshire 66.30 19.53 170042
112 Wokingham 43.31 39.98 180967
113 Wealden 54.50 28.88 163012
114 Peterborough 60.89 20.24 217705
115 Westminster 31.03 50.29 211365
116 Bedford 51.78 28.14 187466
117 Falkirk 43.24 20.24 153280
118 Maidstone 58.75 25.63 180428
119 Arun 62.48 22.77 166366
120 West Berkshire 48.22 32.11 162215
121 North East Lincolnshire 69.87 16.21 157754
122 Flintshire 56.37 22.44 149709
123 South Tyneside 62.05 19.24 148667
124 Barking and Dagenham 62.44 20.87 219992
125 Hammersmith and Fulham 29.98 49.56 185238
126 South Cambridgeshire 39.77 40.10 165633
127 King's Lynn and West Norfolk 66.40 19.13 155741
128 Braintree 61.13 22.20 157681
129 East Devon 54.11 29.08 154500
130 Knowsley 51.56 15.46 157103
131 Tendring 69.50 15.88 151451
132 Thurrock 72.28 17.44 176877
133 Isle of Wight 61.95 22.63 140794
134 Canterbury 51.04 27.30 157550
135 Dacorum 50.67 30.93 156123
136 Kingston upon Thames 38.39 41.44 168302
137 Mid Sussex 46.91 33.63 154930
138 Cherwell 50.31 28.06 164155
139 East Lindsey 70.65 18.06 144415
140 East Hertfordshire 50.36 33.47 151635
141 Neath Port Talbot 56.84 18.79 137392
142 Dundee City 40.22 17.92 144290
143 South Kesteven 59.93 25.64 144249
144 Newport 55.99 23.38 141306
145 St Albans 37.29 46.34 148358
146 North Ayrshire 43.12 19.65 135180
147 Bridgend 54.64 22.56 134564
148 Horsham 48.54 32.61 148696
149 South Oxfordshire 45.02 36.71 151820
150 Teignbridge 53.90 27.97 135952
151 Reigate and Banstead 50.49 33.96 153629
152 Redcar and Cleveland 66.19 18.93 137175
153 Powys 53.74 26.34 131313
154 Reading 41.97 34.79 174820
155 Warwick 41.22 38.44 151158
156 Torbay 63.16 20.65 139479
157 Windsor and Maidenhead 46.10 38.40 154738
158 South Norfolk 51.69 27.04 144593
159 Blackpool 67.46 15.51 141574
160 Swale 62.46 18.92 154619
161 Guildford 43.83 39.52 145673
162 Lancaster 51.08 27.21 144446
163 Blackburn with Darwen 56.34 19.82 155762
164 Epping Forest 62.69 25.34 134989
165 Stafford 55.99 30.28 138670
166 North Hertfordshire 45.63 34.42 134159
167 Broadland 54.37 23.18 133872
168 Thanet 63.85 19.61 140689
169 Breckland 64.22 18.65 143479
170 Elmbridge 40.47 43.85 140024
171 Wrexham 59.04 22.79 133559
172 Stratford-on-Avon 51.56 33.38 138583
173 Oxford 29.73 42.59 163257
174 Eastleigh 52.45 27.91 138935
175 Amber Valley 60.28 23.15 126944
176 Norwich 43.76 27.73 144525
177 Havant 62.36 22.28 124854
178 Halton 57.42 17.65 128964
179 Middlesbrough 65.48 18.54 148285
180 Test Valley 51.94 30.53 132871
181 Wychavon 57.86 28.72 134536
182 Vale of White Horse 43.30 37.21 142116
183 Preston 53.31 24.62 151582
184 Nuneaton and Bedworth 66.01 18.57 135481
185 Tonbridge and Malling 55.70 27.10 133661
186 Newcastle-under-Lyme 63.04 22.49 125297
187 Stroud 45.39 32.87 123205
188 Waverley 41.61 40.14 130063
189 Pembrokeshire 57.14 24.76 117086
190 East Ayrshire 41.40 34.81 120240
191 Ashfield 69.84 15.09 127179
192 Chichester 50.92 32.39 126103
193 Ipswich 58.26 20.63 139247
194 Conwy 53.98 25.47 110863
195 East Hampshire 49.48 33.87 127319
196 Ashford 59.43 24.63 135610
197 Fareham 55.10 29.75 114547
198 Gloucester 58.50 22.20 133522
199 Winchester 41.07 40.66 130268
200 Scottish Borders 41.53 27.00 112870
201 Gedling 55.55 25.33 117730
202 South Ayrshire 41.04 25.15 111440
203 Slough 54.33 25.84 159182
204 Erewash 61.23 20.68 113080
205 Newark and Sherwood 60.39 24.16 125089
206 Sevenoaks 54.38 31.98 121106
207 Angus 44.74 23.63 110570
208 Cheltenham 43.83 36.23 119434
209 North Kesteven 62.26 25.43 119709
210 Exeter 44.72 28.56 134939
211 Rushcliffe 42.45 38.99 121582
212 West Lancashire 55.31 25.35 119367
213 South Staffordshire 64.85 25.09 111527
214 Bassetlaw 67.83 20.24 120012
215 Hinckley and Bosworth 60.33 24.06 114298
216 Bracknell Forest 53.94 30.31 126881
217 Dover 62.15 21.96 117473
218 Gwynedd 41.95 26.43 119007
219 South Ribble 58.56 26.40 112166
220 Wyre 63.77 22.98 114809
221 Chorley 56.83 27.83 118624
222 Broxtowe 54.65 28.24 112113
223 East Staffordshire 63.21 23.38 125760
224 North Norfolk 58.91 22.26 103227
225 Kensington and Chelsea 31.31 52.68 146154
226 East Dunbartonshire 28.60 26.98 104580
227 West Oxfordshire 46.34 32.91 116928
228 Tunbridge Wells 45.11 34.64 116028
229 Worthing 52.99 25.96 112044
230 Lichfield 58.81 28.42 108352
231 Cambridge 26.15 47.33 146995
232 Chesterfield 60.04 21.02 104110
233 Staffordshire Moorlands 64.73 23.74 95899
234 North East Derbyshire 62.78 22.18 103783
235 Mid Suffolk 55.23 26.44 105723
236 Welwyn Hatfield 52.99 30.01 120213
237 Wyre Forest 63.15 22.07 102328
238 East Lothian 35.40 35.24 97500
239 Darlington 56.18 23.72 109469
240 Mansfield 70.86 16.36 111117
241 Lewes 47.93 29.42 100677
242 North Devon 57.04 22.92 100505
243 Denbighshire 54.00 24.24 96731
244 Cannock Chase 68.86 17.22 101140
245 Bromsgrove 55.37 30.54 100076
246 Rugby 56.70 28.18 116436
247 Dartford 64.22 22.05 118820
248 North West Leicestershire 60.70 24.28 107672
249 South Derbyshire 60.35 25.95 111133
250 Blaby 59.47 24.87 104182
251 Crawley 58.41 21.54 119509
252 Worcester 53.68 27.66 104120
253 West Lindsey 61.82 25.28 96817
254 Hertsmere 50.84 30.80 108106
255 Gravesham 65.38 19.96 106970
256 Rother 58.53 25.46 94162
257 Spelthorne 60.30 25.95 103551
258 Great Yarmouth 71.50 14.21 99862
259 High Peak 50.55 29.41 91109
260 Eastbourne 57.33 24.42 102247
261 Monmouthshire 49.56 33.08 88089
262 Fenland 71.39 14.88 103035
263 Moray 49.87 22.71 87720
264 Woking 43.85 38.36 104179
265 Babergh 54.19 25.81 94277
266 Hartlepool 69.57 17.60 93861
267 Hart 47.60 37.49 100910
268 East Renfrewshire 25.68 41.44 89540
269 South Hams 47.15 34.27 89812
270 Broxbourne 66.26 19.23 99103
271 Torfaen 59.78 20.28 90533
272 Castle Point 72.70 14.62 89731
273 Cotswold 48.90 33.65 91311
274 Tewkesbury 53.25 30.18 97000
275 West Dunbartonshire 38.01 16.51 90570
276 Harborough 50.75 31.84 100481
277 Three Rivers 51.27 33.91 94123
278 Midlothian 37.94 21.05 81140
279 Mole Valley 46.92 37.94 87769
280 Forest of Dean 58.58 23.97 87937
281 Rochford 66.61 20.01 87216
282 Stirling 32.28 33.30 89850
283 Rushmoor 58.21 24.71 101060
284 South Holland 73.59 15.79 96983
285 Surrey Heath 50.98 34.47 91237
286 Watford 50.27 32.20 103031
287 Uttlesford 50.68 31.94 92578
288 Pendle 63.15 20.23 96110
289 Burnley 66.61 18.73 95553
290 Tandridge 52.84 32.97 88707
291 Lincoln 56.94 21.29 102545
292 Gosport 63.86 21.48 82285
293 East Cambridgeshire 50.92 29.02 89394
294 Stevenage 59.25 22.08 89737
295 Hyndburn 66.19 18.93 83213
296 Hastings 54.88 21.23 90622
297 Fylde 56.96 29.77 83008
298 Redditch 62.29 20.70 87132
299 Mid Devon 53.34 26.45 83786
300 Malvern Hills 52.16 33.93 81024
301 Harlow 68.10 17.63 94409
302 Brentwood 59.15 30.68 77332
303 Inverclyde 36.20 19.74 79770
304 Runnymede 54.26 29.92 88524
305 Bolsover 70.83 15.84 81553
306 Derbyshire Dales 51.56 33.42 71752
307 Tamworth 67.47 17.42 79639
308 Epsom and Ewell 47.92 35.98 81184
309 Ceredigion 45.37 27.92 76938
310 Torridge 60.83 21.67 68635
311 Rossendale 60.68 25.13 71169
312 Blaenau Gwent 62.03 15.16 68368
313 North Warwickshire 66.88 19.78 65946
314 Maldon 62.58 23.64 67554
315 Adur 54.57 21.99 64688
316 Ribble Valley 56.39 33.98 63107
317 West Devon 53.20 30.03 58190
318 Merthyr Tydfil 56.44 17.75 55699
319 Oadby and Wigston 54.58 24.75 58341
320 Boston 75.56 15.13 70806
321 Clackmannanshire 42.22 21.51 50630
322 Melton 58.11 26.15 52433
323 Rutland 50.57 32.90 41151
324 Eilean Siar 44.76 26.41 26190
325 Shetland Islands 43.49 26.63 22400
326 Orkney Islands 36.84 26.54 20110
327 Isles of Scilly 43.61 33.01 2281Question 14
Determine the possible associations between
leave,high_educationandpopulation(all yours, no help, no code). Comment and interpret as much as you can
Question 14
#We must verify that these variables are numeric
data_brexit <- data_brexit %>%
mutate(
leave = as.numeric(leave),
high_education = as.numeric(high_education))
#Due to the fact that the three variables are numeric, we can do a correlation matrix and get also the p-values
cor_matrix <- cor(data_brexit[, c("leave", "high_education", "Value")], use = "complete.obs")
print(cor_matrix) leave high_education Value
leave 1.0000000 -0.77707321 -0.15882252
high_education -0.7770732 1.00000000 0.01758929
Value -0.1588225 0.01758929 1.00000000Question 14
library(Hmisc)
data_brexit_clean <- na.omit(data_brexit[, c("leave", "high_education", "Value")])
cor_result <- rcorr(as.matrix(data_brexit_clean))
print(cor_result) leave high_education Value
leave 1.00 -0.78 -0.16
high_education -0.78 1.00 0.02
Value -0.16 0.02 1.00
n= 327
P
leave high_education Value
leave 0.0000 0.0040
high_education 0.0000 0.7513
Value 0.0040 0.7513 Question 14
Question 14
Question 14
Question 14
ANSWER: We can observe that there’s a significant relation (p-value<0,05) between all variables except for High education and Population of the region (p-value=0,7513), meaning that the percentage of highly educated people is not related to the number of people in the region…
Question 14
Continuing…The significant relation is between: First, the percetage of High Education and the percentage of people that wanted to leave the EU (p-value = 0,000) with a negative and strong correlation (-0,78), meaning that in regions/districts with a higher percentage of highly educated population there is less population that wants to leave the European Union, and viceversa
Question 14
Continuing…Secondly, there’s also a significant relation between population and wanted to leave the UE (p-value=0,004), but with a weak correlation. Again, in this case is a negative correlation (-0,16). What we can say is that in those districts with more population, there are less people wanting to vote “leave”, but the correlation is not strong enough.
Question 14
We can also do a linear regression
Call:
lm(formula = leave ~ high_education + Value, data = data_brexit)
Residuals:
Min 1Q Median 3Q Max
-26.996 -1.805 1.735 4.270 12.827
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 8.341e+01 1.394e+00 59.853 < 2e-16 ***
high_education -1.044e+00 4.588e-02 -22.760 < 2e-16 ***
Value -1.286e-05 3.015e-06 -4.267 2.61e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 6.619 on 324 degrees of freedom
Multiple R-squared: 0.6249, Adjusted R-squared: 0.6226
F-statistic: 269.9 on 2 and 324 DF, p-value: < 2.2e-16Question 14
ANSWER High education and population are significant variables that explain the “Leave” votes. For every increase in 1 unit of the percentage of high education, the percentage of “leave” votes decreases by 1,044 points. And for every increase of one unit in the population, the percentage of votes for “leave” decreases by 0.00001 (therefore the effect of population is almost null)
Question 15
Create a new variable by recoding the
leavevariable into a binary variable (ifleaveexceeds 50% it will be a 1, otherwise 0). Think of a graph to represent this new recoded variable and run a simpleggplot()of it.{forcats}package should be used.
Question 15
library(forcats)
library(ggplot2)
#dummy variable (leave)
data_brexit <- data_brexit |>
mutate(leave_dummy = fct_recode(as.factor(ifelse(leave > 50, 1, 0)),
"No" = "0", "Yes" = "1"))
#plot
ggplot(data_brexit, aes(x = leave_dummy)) +
geom_bar(fill = "pink") +
labs(title = "Distribution of Leave Voting",
x = "Wants to leave the EU",
y = "Number of regions") +
theme_minimal()
Question 15
ANSWER: We can check that in nearly 250 regions of the UK, people wants to leave the European Union, while in approximately 100 districts don’t want to leave. In general, we can see that most regions wanted to leave the EU
Question 16
Recode as you see fit the variable
high_educationto convert it into a 4-level ordinal qualitative variable. Think of a graph to represent this new recoded variable and run a simpleggplot()(but respecting the ordinal qualitative nature of the variable).{forcats}package should be used.
Question 16
#We check the min, max, mean median, etc to have an idea how to cut the variable in 4 levels
summary(data_brexit$high_education) Min. 1st Qu. Median Mean 3rd Qu. Max.
14.21 21.50 25.68 27.05 31.80 68.36 data_brexit <- data_brexit |>
mutate(high_education_levels = case_when(
high_education <= 20 ~ "Little",
high_education <= 30 ~ "Moderate",
high_education <= 40 ~ "Some",
high_education > 40 ~ "Lots"
))
#We order them
data_brexit$high_education_levels <- factor(data_brexit$high_education_levels,
levels = c("Little", "Moderate", "Some", "Lots"),
ordered = TRUE)
#Frecuency table
table(data_brexit$high_education_levels)
Little Moderate Some Lots
60 171 72 24 Question 16
Question 16
ANSWER: In more than half of the districts (171), there is a moderate percentage of the population with a high education (<=30%), followed by 72 districts where there is a higher percentage of the population with a high education (<=40% ). In third place are those districts (60 approximately) where the percentage of highly educated people is low (<=20), and finally there are only 24 districts with a large percentage of the population with high education (>40%)
Question 17
Think of a simple graph that allows us to visually draw conclusions about the possible relationship between
leave(the original, the continuous one) andhigh_education. Run a simple but informativeggplot().
Question 17
Question 17
ANSWER : In general we see that the lower the percentage of the population with high education, the higher the percentage of the population that votes “Leave.” As we saw before, there is a significant correlation between being highly educated and not voting “Leave”
Question 18
From the brexit_data_district table keep only the variables name, leave, high_education and population, and only the rows whose name is known. Then add a new variable prop_pop that calculates what proportion of the total population each district represents.
Question 18
data_brexit <-
data_brexit |>
select(name, leave, high_education, Value) |>
filter(!is.na(name)) |>
mutate(prop_pop = Value / sum(Value, na.rm = TRUE))
data_brexit name leave high_education Value prop_pop
1 Birmingham 50.42 22.98 1157603 1.977676e-02
2 Cardiff 39.98 32.33 341054 5.826646e-03
3 Glasgow City 33.41 25.91 592820 1.012787e-02
4 Liverpool 41.81 22.44 496770 8.486934e-03
5 Swansea 51.51 25.85 232501 3.972101e-03
6 City of London 24.71 68.36 10847 1.853127e-04
7 Leeds 49.69 26.94 822483 1.405149e-02
8 Cornwall 56.52 24.99 575413 9.830489e-03
9 Sheffield 50.99 25.66 566242 9.673810e-03
10 County Durham 57.55 21.46 528127 9.022644e-03
11 Wiltshire 52.49 29.49 515885 8.813499e-03
12 Bradford 54.23 21.84 552644 9.441499e-03
13 Manchester 39.64 28.90 568996 9.720860e-03
14 Kirklees 54.67 23.87 437593 7.475940e-03
15 Cheshire East 51.18 31.95 406527 6.945202e-03
16 Fife 41.41 23.79 365020 6.236086e-03
17 East Riding of Yorkshire 60.40 25.87 346309 5.916423e-03
18 Cheshire West and Chester 50.68 29.36 361694 6.179264e-03
19 North Lanarkshire 38.34 17.16 326360 5.575610e-03
20 South Lanarkshire 36.92 22.04 311880 5.328230e-03
21 Wakefield 66.36 18.35 357729 6.111525e-03
22 Croydon 45.71 31.77 392224 6.700846e-03
23 Dudley 67.60 19.17 324969 5.551846e-03
24 Wirral 48.30 25.26 322453 5.508862e-03
25 Northumberland 54.11 25.57 324362 5.541476e-03
26 Shropshire 56.87 27.50 327178 5.589585e-03
27 Wigan 63.90 19.54 334110 5.708013e-03
28 Bromley 49.35 33.08 329578 5.630587e-03
29 Barnet 37.77 40.34 389101 6.647492e-03
30 Sandwell 66.72 15.36 344210 5.880564e-03
31 Coventry 55.60 23.05 355600 6.075153e-03
32 Stockport 47.67 29.81 297107 5.075845e-03
33 Wandsworth 24.97 53.57 329035 5.621310e-03
34 Doncaster 68.96 17.03 311027 5.313658e-03
35 Leicester 48.92 21.19 373399 6.379235e-03
36 Ealing 39.60 37.04 369937 6.320090e-03
37 Lambeth 21.38 46.62 316812 5.412490e-03
38 South Gloucestershire 52.68 26.69 294765 5.035834e-03
39 Sunderland 61.34 18.18 277354 4.738380e-03
40 Sefton 48.13 24.06 281027 4.801131e-03
41 Central Bedfordshire 56.13 27.27 301501 5.150913e-03
42 Enfield 44.18 28.72 327224 5.590371e-03
43 Brighton and Hove 31.38 36.86 277965 4.748819e-03
44 Rotherham 67.89 17.39 268354 4.584622e-03
45 Lewisham 30.14 38.00 298653 5.102257e-03
46 Bolton 58.29 22.16 298903 5.106528e-03
47 Aberdeenshire 44.99 26.96 245780 4.198963e-03
48 Southwark 27.19 43.07 311913 5.328794e-03
49 Nottingham 50.84 21.94 328513 5.612392e-03
50 Walsall 67.86 16.89 286105 4.887884e-03
51 Hillingdon 56.37 28.04 310681 5.307746e-03
52 Medway 64.08 19.13 282702 4.829747e-03
53 Newcastle upon Tyne 49.30 27.16 307565 5.254512e-03
54 Redbridge 46.03 33.92 310911 5.311676e-03
55 Plymouth 59.94 21.46 266862 4.559132e-03
56 Brent 40.26 33.25 341221 5.829499e-03
57 Havering 69.66 19.44 264703 4.522248e-03
58 Stoke-on-Trent 69.36 15.47 259965 4.441302e-03
59 Milton Keynes 51.41 28.22 292180 4.991671e-03
60 Newham 47.16 30.14 358645 6.127175e-03
61 Barnsley 68.31 17.38 246482 4.210956e-03
62 Highland 44.05 26.37 221630 3.786378e-03
63 Wolverhampton 62.57 19.51 267651 4.572612e-03
64 Salford 56.81 22.30 278064 4.750510e-03
65 Derby 57.22 24.21 263490 4.501524e-03
66 Bexley 62.95 21.77 247835 4.234071e-03
67 Greenwich 44.41 33.20 291080 4.972878e-03
68 Tameside 61.14 17.55 232753 3.976406e-03
69 Tower Hamlets 32.54 41.03 325789 5.565855e-03
70 Trafford 42.31 33.78 236301 4.037021e-03
71 Hounslow 48.94 34.56 290488 4.962764e-03
72 Hackney 21.52 41.81 261491 4.467373e-03
73 Waltham Forest 40.90 29.99 275887 4.713318e-03
74 Harrow 45.37 36.76 261185 4.462145e-03
75 North Somerset 52.17 28.35 219145 3.743924e-03
76 Solihull 56.16 28.53 217678 3.718862e-03
77 Southampton 53.80 24.62 252689 4.316998e-03
78 Oldham 60.86 18.61 243912 4.167049e-03
79 Warrington 54.27 27.45 211580 3.614682e-03
80 North Tyneside 53.40 25.28 210487 3.596009e-03
81 Rochdale 60.07 19.39 226992 3.877984e-03
82 York 41.96 32.40 204551 3.494597e-03
83 Aberdeen City 38.90 33.16 217120 3.709329e-03
84 Haringey 24.43 40.78 261811 4.472840e-03
85 Calderdale 55.68 24.98 207699 3.548378e-03
86 Swindon 54.66 22.71 235657 4.026019e-03
87 Gateshead 56.85 21.50 197722 3.377929e-03
88 Camden 25.06 50.55 218049 3.725200e-03
89 Islington 24.78 48.05 220373 3.764904e-03
90 Bury 54.12 25.68 194606 3.324694e-03
91 Stockton-on-Tees 61.73 22.82 199966 3.416266e-03
92 New Forest 57.76 27.24 175942 3.005834e-03
93 Portsmouth 58.08 23.69 208420 3.560696e-03
94 Sutton 53.72 30.08 210053 3.588594e-03
95 Carmarthenshire 53.75 23.90 180717 3.087411e-03
96 Bath and North East Somerset 42.15 33.40 195618 3.341983e-03
97 Merton 37.06 41.09 214709 3.668138e-03
98 Charnwood 53.81 26.77 184748 3.156278e-03
99 Basildon 68.62 18.63 188848 3.226323e-03
100 Richmond upon Thames 30.71 53.04 194894 3.329614e-03
101 West Lothian 41.75 21.47 172080 2.939855e-03
102 Caerphilly 57.63 18.66 173124 2.957691e-03
103 Chelmsford 52.83 28.80 183326 3.131984e-03
104 Southend-on-Sea 58.08 21.83 180915 3.090794e-03
105 Basingstoke and Deane 51.90 30.45 187817 3.208709e-03
106 Huntingdonshire 54.24 27.92 184052 3.144387e-03
107 Luton 56.55 22.25 226973 3.877659e-03
108 Colchester 53.60 27.16 194394 3.321072e-03
109 Renfrewshire 35.19 23.06 170250 2.908591e-03
110 Telford and Wrekin 63.22 20.92 188871 3.226716e-03
111 North Lincolnshire 66.30 19.53 170042 2.905037e-03
112 Wokingham 43.31 39.98 180967 3.091682e-03
113 Wealden 54.50 28.88 163012 2.784935e-03
114 Peterborough 60.89 20.24 217705 3.719323e-03
115 Westminster 31.03 50.29 211365 3.611009e-03
116 Bedford 51.78 28.14 187466 3.202713e-03
117 Falkirk 43.24 20.24 153280 2.618671e-03
118 Maidstone 58.75 25.63 180428 3.082474e-03
119 Arun 62.48 22.77 166366 2.842235e-03
120 West Berkshire 48.22 32.11 162215 2.771319e-03
121 North East Lincolnshire 69.87 16.21 157754 2.695106e-03
122 Flintshire 56.37 22.44 149709 2.557663e-03
123 South Tyneside 62.05 19.24 148667 2.539862e-03
124 Barking and Dagenham 62.44 20.87 219992 3.758394e-03
125 Hammersmith and Fulham 29.98 49.56 185238 3.164649e-03
126 South Cambridgeshire 39.77 40.10 165633 2.829713e-03
127 King's Lynn and West Norfolk 66.40 19.13 155741 2.660715e-03
128 Braintree 61.13 22.20 157681 2.693859e-03
129 East Devon 54.11 29.08 154500 2.639514e-03
130 Knowsley 51.56 15.46 157103 2.683984e-03
131 Tendring 69.50 15.88 151451 2.587424e-03
132 Thurrock 72.28 17.44 176877 3.021808e-03
133 Isle of Wight 61.95 22.63 140794 2.405357e-03
134 Canterbury 51.04 27.30 157550 2.691621e-03
135 Dacorum 50.67 30.93 156123 2.667242e-03
136 Kingston upon Thames 38.39 41.44 168302 2.875310e-03
137 Mid Sussex 46.91 33.63 154930 2.646860e-03
138 Cherwell 50.31 28.06 164155 2.804462e-03
139 East Lindsey 70.65 18.06 144415 2.467219e-03
140 East Hertfordshire 50.36 33.47 151635 2.590568e-03
141 Neath Port Talbot 56.84 18.79 137392 2.347237e-03
142 Dundee City 40.22 17.92 144290 2.465084e-03
143 South Kesteven 59.93 25.64 144249 2.464383e-03
144 Newport 55.99 23.38 141306 2.414105e-03
145 St Albans 37.29 46.34 148358 2.534583e-03
146 North Ayrshire 43.12 19.65 135180 2.309447e-03
147 Bridgend 54.64 22.56 134564 2.298923e-03
148 Horsham 48.54 32.61 148696 2.540357e-03
149 South Oxfordshire 45.02 36.71 151820 2.593728e-03
150 Teignbridge 53.90 27.97 135952 2.322636e-03
151 Reigate and Banstead 50.49 33.96 153629 2.624634e-03
152 Redcar and Cleveland 66.19 18.93 137175 2.343530e-03
153 Powys 53.74 26.34 131313 2.243382e-03
154 Reading 41.97 34.79 174820 2.986666e-03
155 Warwick 41.22 38.44 151158 2.582418e-03
156 Torbay 63.16 20.65 139479 2.382892e-03
157 Windsor and Maidenhead 46.10 38.40 154738 2.643580e-03
158 South Norfolk 51.69 27.04 144593 2.470260e-03
159 Blackpool 67.46 15.51 141574 2.418683e-03
160 Swale 62.46 18.92 154619 2.641547e-03
161 Guildford 43.83 39.52 145673 2.488711e-03
162 Lancaster 51.08 27.21 144446 2.467749e-03
163 Blackburn with Darwen 56.34 19.82 155762 2.661074e-03
164 Epping Forest 62.69 25.34 134989 2.306183e-03
165 Stafford 55.99 30.28 138670 2.369071e-03
166 North Hertfordshire 45.63 34.42 134159 2.292004e-03
167 Broadland 54.37 23.18 133872 2.287100e-03
168 Thanet 63.85 19.61 140689 2.403564e-03
169 Breckland 64.22 18.65 143479 2.451229e-03
170 Elmbridge 40.47 43.85 140024 2.392203e-03
171 Wrexham 59.04 22.79 133559 2.281753e-03
172 Stratford-on-Avon 51.56 33.38 138583 2.367584e-03
173 Oxford 29.73 42.59 163257 2.789121e-03
174 Eastleigh 52.45 27.91 138935 2.373598e-03
175 Amber Valley 60.28 23.15 126944 2.168741e-03
176 Norwich 43.76 27.73 144525 2.469099e-03
177 Havant 62.36 22.28 124854 2.133035e-03
178 Halton 57.42 17.65 128964 2.203251e-03
179 Middlesbrough 65.48 18.54 148285 2.533335e-03
180 Test Valley 51.94 30.53 132871 2.269999e-03
181 Wychavon 57.86 28.72 134536 2.298444e-03
182 Vale of White Horse 43.30 37.21 142116 2.427943e-03
183 Preston 53.31 24.62 151582 2.589662e-03
184 Nuneaton and Bedworth 66.01 18.57 135481 2.314589e-03
185 Tonbridge and Malling 55.70 27.10 133661 2.283496e-03
186 Newcastle-under-Lyme 63.04 22.49 125297 2.140603e-03
187 Stroud 45.39 32.87 123205 2.104863e-03
188 Waverley 41.61 40.14 130063 2.222027e-03
189 Pembrokeshire 57.14 24.76 117086 2.000324e-03
190 East Ayrshire 41.40 34.81 120240 2.054208e-03
191 Ashfield 69.84 15.09 127179 2.172756e-03
192 Chichester 50.92 32.39 126103 2.154373e-03
193 Ipswich 58.26 20.63 139247 2.378928e-03
194 Conwy 53.98 25.47 110863 1.894009e-03
195 East Hampshire 49.48 33.87 127319 2.175147e-03
196 Ashford 59.43 24.63 135610 2.316793e-03
197 Fareham 55.10 29.75 114547 1.956948e-03
198 Gloucester 58.50 22.20 133522 2.281121e-03
199 Winchester 41.07 40.66 130268 2.225529e-03
200 Scottish Borders 41.53 27.00 112870 1.928297e-03
201 Gedling 55.55 25.33 117730 2.011327e-03
202 South Ayrshire 41.04 25.15 111440 1.903867e-03
203 Slough 54.33 25.84 159182 2.719502e-03
204 Erewash 61.23 20.68 113080 1.931885e-03
205 Newark and Sherwood 60.39 24.16 125089 2.137050e-03
206 Sevenoaks 54.38 31.98 121106 2.069003e-03
207 Angus 44.74 23.63 110570 1.889004e-03
208 Cheltenham 43.83 36.23 119434 2.040438e-03
209 North Kesteven 62.26 25.43 119709 2.045136e-03
210 Exeter 44.72 28.56 134939 2.305329e-03
211 Rushcliffe 42.45 38.99 121582 2.077135e-03
212 West Lancashire 55.31 25.35 119367 2.039294e-03
213 South Staffordshire 64.85 25.09 111527 1.905353e-03
214 Bassetlaw 67.83 20.24 120012 2.050313e-03
215 Hinckley and Bosworth 60.33 24.06 114298 1.952694e-03
216 Bracknell Forest 53.94 30.31 126881 2.167664e-03
217 Dover 62.15 21.96 117473 2.006936e-03
218 Gwynedd 41.95 26.43 119007 2.033143e-03
219 South Ribble 58.56 26.40 112166 1.916270e-03
220 Wyre 63.77 22.98 114809 1.961424e-03
221 Chorley 56.83 27.83 118624 2.026600e-03
222 Broxtowe 54.65 28.24 112113 1.915365e-03
223 East Staffordshire 63.21 23.38 125760 2.148513e-03
224 North Norfolk 58.91 22.26 103227 1.763554e-03
225 Kensington and Chelsea 31.31 52.68 146154 2.496929e-03
226 East Dunbartonshire 28.60 26.98 104580 1.786669e-03
227 West Oxfordshire 46.34 32.91 116928 1.997625e-03
228 Tunbridge Wells 45.11 34.64 116028 1.982249e-03
229 Worthing 52.99 25.96 112044 1.914186e-03
230 Lichfield 58.81 28.42 108352 1.851111e-03
231 Cambridge 26.15 47.33 146995 2.511297e-03
232 Chesterfield 60.04 21.02 104110 1.778639e-03
233 Staffordshire Moorlands 64.73 23.74 95899 1.638361e-03
234 North East Derbyshire 62.78 22.18 103783 1.773053e-03
235 Mid Suffolk 55.23 26.44 105723 1.806196e-03
236 Welwyn Hatfield 52.99 30.01 120213 2.053747e-03
237 Wyre Forest 63.15 22.07 102328 1.748195e-03
238 East Lothian 35.40 35.24 97500 1.665713e-03
239 Darlington 56.18 23.72 109469 1.870194e-03
240 Mansfield 70.86 16.36 111117 1.898349e-03
241 Lewes 47.93 29.42 100677 1.719989e-03
242 North Devon 57.04 22.92 100505 1.717051e-03
243 Denbighshire 54.00 24.24 96731 1.652575e-03
244 Cannock Chase 68.86 17.22 101140 1.727899e-03
245 Bromsgrove 55.37 30.54 100076 1.709722e-03
246 Rugby 56.70 28.18 116436 1.989220e-03
247 Dartford 64.22 22.05 118820 2.029948e-03
248 North West Leicestershire 60.70 24.28 107672 1.839493e-03
249 South Derbyshire 60.35 25.95 111133 1.898622e-03
250 Blaby 59.47 24.87 104182 1.779869e-03
251 Crawley 58.41 21.54 119509 2.041720e-03
252 Worcester 53.68 27.66 104120 1.778810e-03
253 West Lindsey 61.82 25.28 96817 1.654044e-03
254 Hertsmere 50.84 30.80 108106 1.846908e-03
255 Gravesham 65.38 19.96 106970 1.827500e-03
256 Rother 58.53 25.46 94162 1.608685e-03
257 Spelthorne 60.30 25.95 103551 1.769089e-03
258 Great Yarmouth 71.50 14.21 99862 1.706066e-03
259 High Peak 50.55 29.41 91109 1.556527e-03
260 Eastbourne 57.33 24.42 102247 1.746812e-03
261 Monmouthshire 49.56 33.08 88089 1.504933e-03
262 Fenland 71.39 14.88 103035 1.760274e-03
263 Moray 49.87 22.71 87720 1.498629e-03
264 Woking 43.85 38.36 104179 1.779818e-03
265 Babergh 54.19 25.81 94277 1.610650e-03
266 Hartlepool 69.57 17.60 93861 1.603543e-03
267 Hart 47.60 37.49 100910 1.723970e-03
268 East Renfrewshire 25.68 41.44 89540 1.529722e-03
269 South Hams 47.15 34.27 89812 1.534369e-03
270 Broxbourne 66.26 19.23 99103 1.693099e-03
271 Torfaen 59.78 20.28 90533 1.546687e-03
272 Castle Point 72.70 14.62 89731 1.532985e-03
273 Cotswold 48.90 33.65 91311 1.559978e-03
274 Tewkesbury 53.25 30.18 97000 1.657171e-03
275 West Dunbartonshire 38.01 16.51 90570 1.547319e-03
276 Harborough 50.75 31.84 100481 1.716641e-03
277 Three Rivers 51.27 33.91 94123 1.608019e-03
278 Midlothian 37.94 21.05 81140 1.386215e-03
279 Mole Valley 46.92 37.94 87769 1.499466e-03
280 Forest of Dean 58.58 23.97 87937 1.502336e-03
281 Rochford 66.61 20.01 87216 1.490018e-03
282 Stirling 32.28 33.30 89850 1.535018e-03
283 Rushmoor 58.21 24.71 101060 1.726533e-03
284 South Holland 73.59 15.79 96983 1.656880e-03
285 Surrey Heath 50.98 34.47 91237 1.558714e-03
286 Watford 50.27 32.20 103031 1.760206e-03
287 Uttlesford 50.68 31.94 92578 1.581624e-03
288 Pendle 63.15 20.23 96110 1.641966e-03
289 Burnley 66.61 18.73 95553 1.632450e-03
290 Tandridge 52.84 32.97 88707 1.515491e-03
291 Lincoln 56.94 21.29 102545 1.751903e-03
292 Gosport 63.86 21.48 82285 1.405776e-03
293 East Cambridgeshire 50.92 29.02 89394 1.527228e-03
294 Stevenage 59.25 22.08 89737 1.533088e-03
295 Hyndburn 66.19 18.93 83213 1.421630e-03
296 Hastings 54.88 21.23 90622 1.548207e-03
297 Fylde 56.96 29.77 83008 1.418128e-03
298 Redditch 62.29 20.70 87132 1.488583e-03
299 Mid Devon 53.34 26.45 83786 1.431419e-03
300 Malvern Hills 52.16 33.93 81024 1.384233e-03
301 Harlow 68.10 17.63 94409 1.612905e-03
302 Brentwood 59.15 30.68 77332 1.321158e-03
303 Inverclyde 36.20 19.74 79770 1.362809e-03
304 Runnymede 54.26 29.92 88524 1.512365e-03
305 Bolsover 70.83 15.84 81553 1.393270e-03
306 Derbyshire Dales 51.56 33.42 71752 1.225828e-03
307 Tamworth 67.47 17.42 79639 1.360571e-03
308 Epsom and Ewell 47.92 35.98 81184 1.386966e-03
309 Ceredigion 45.37 27.92 76938 1.314427e-03
310 Torridge 60.83 21.67 68635 1.172576e-03
311 Rossendale 60.68 25.13 71169 1.215868e-03
312 Blaenau Gwent 62.03 15.16 68368 1.168015e-03
313 North Warwickshire 66.88 19.78 65946 1.126637e-03
314 Maldon 62.58 23.64 67554 1.154108e-03
315 Adur 54.57 21.99 64688 1.105145e-03
316 Ribble Valley 56.39 33.98 63107 1.078135e-03
317 West Devon 53.20 30.03 58190 9.941315e-04
318 Merthyr Tydfil 56.44 17.75 55699 9.515747e-04
319 Oadby and Wigston 54.58 24.75 58341 9.967112e-04
320 Boston 75.56 15.13 70806 1.209666e-03
321 Clackmannanshire 42.22 21.51 50630 8.649747e-04
322 Melton 58.11 26.15 52433 8.957776e-04
323 Rutland 50.57 32.90 41151 7.030332e-04
324 Eilean Siar 44.76 26.41 26190 4.474360e-04
325 Shetland Islands 43.49 26.63 22400 3.826868e-04
326 Orkney Islands 36.84 26.54 20110 3.435639e-04
327 Isles of Scilly 43.61 33.01 2281 3.896913e-05Question 19
After that, we will try to estimate (with the data disaggregated by districts) the % of people who voted
leaveorremains(remember: the real value was 51.8% to leave the European Union. Consider a fictitious total population of 100000 people. For each district we want to simulate aleavevariable that is a normal distribution of:
Question 19
- sample size \(n\) equals the population that each district would have assuming that fictitious population of 100000 inhabitants (it must be proportional)
- mean equal to the information in
leavevariable. - standard deviation proportional to the population (more population, more dispersion). For example, a constant multiplied by the proportion of the population that each district represents.
Question 19
Ensures that the new dummy variable
leaveis between 0 and 100 (eliminates cases if necessary). Then calculate the mean ofleave. How accurate is it with respect to the actual result of 51.8%? Why is it now different from the first percentage estimated with the first table?
Question 19
total_pop <- 100000
sd_const <- 5
data_brexit1 <- data_brexit |>
reframe(
name = name,
Value= Value,
high_education = high_education,
leave=leave,
prop_pop = prop_pop,
n = round (prop_pop*total_pop),
simulation = rnorm (1, mean=leave, sd=sd_const*prop_pop)) |>
mutate (simulation = ifelse(simulation <0,0,
ifelse (simulation > 100, 100, simulation)))
data_brexit1 name Value high_education leave prop_pop n
1 Birmingham 1157603 22.98 50.42 1.977676e-02 1978
2 Cardiff 341054 32.33 39.98 5.826646e-03 583
3 Glasgow City 592820 25.91 33.41 1.012787e-02 1013
4 Liverpool 496770 22.44 41.81 8.486934e-03 849
5 Swansea 232501 25.85 51.51 3.972101e-03 397
6 City of London 10847 68.36 24.71 1.853127e-04 19
7 Leeds 822483 26.94 49.69 1.405149e-02 1405
8 Cornwall 575413 24.99 56.52 9.830489e-03 983
9 Sheffield 566242 25.66 50.99 9.673810e-03 967
10 County Durham 528127 21.46 57.55 9.022644e-03 902
11 Wiltshire 515885 29.49 52.49 8.813499e-03 881
12 Bradford 552644 21.84 54.23 9.441499e-03 944
13 Manchester 568996 28.90 39.64 9.720860e-03 972
14 Kirklees 437593 23.87 54.67 7.475940e-03 748
15 Cheshire East 406527 31.95 51.18 6.945202e-03 695
16 Fife 365020 23.79 41.41 6.236086e-03 624
17 East Riding of Yorkshire 346309 25.87 60.40 5.916423e-03 592
18 Cheshire West and Chester 361694 29.36 50.68 6.179264e-03 618
19 North Lanarkshire 326360 17.16 38.34 5.575610e-03 558
20 South Lanarkshire 311880 22.04 36.92 5.328230e-03 533
21 Wakefield 357729 18.35 66.36 6.111525e-03 611
22 Croydon 392224 31.77 45.71 6.700846e-03 670
23 Dudley 324969 19.17 67.60 5.551846e-03 555
24 Wirral 322453 25.26 48.30 5.508862e-03 551
25 Northumberland 324362 25.57 54.11 5.541476e-03 554
26 Shropshire 327178 27.50 56.87 5.589585e-03 559
27 Wigan 334110 19.54 63.90 5.708013e-03 571
28 Bromley 329578 33.08 49.35 5.630587e-03 563
29 Barnet 389101 40.34 37.77 6.647492e-03 665
30 Sandwell 344210 15.36 66.72 5.880564e-03 588
31 Coventry 355600 23.05 55.60 6.075153e-03 608
32 Stockport 297107 29.81 47.67 5.075845e-03 508
33 Wandsworth 329035 53.57 24.97 5.621310e-03 562
34 Doncaster 311027 17.03 68.96 5.313658e-03 531
35 Leicester 373399 21.19 48.92 6.379235e-03 638
36 Ealing 369937 37.04 39.60 6.320090e-03 632
37 Lambeth 316812 46.62 21.38 5.412490e-03 541
38 South Gloucestershire 294765 26.69 52.68 5.035834e-03 504
39 Sunderland 277354 18.18 61.34 4.738380e-03 474
40 Sefton 281027 24.06 48.13 4.801131e-03 480
41 Central Bedfordshire 301501 27.27 56.13 5.150913e-03 515
42 Enfield 327224 28.72 44.18 5.590371e-03 559
43 Brighton and Hove 277965 36.86 31.38 4.748819e-03 475
44 Rotherham 268354 17.39 67.89 4.584622e-03 458
45 Lewisham 298653 38.00 30.14 5.102257e-03 510
46 Bolton 298903 22.16 58.29 5.106528e-03 511
47 Aberdeenshire 245780 26.96 44.99 4.198963e-03 420
48 Southwark 311913 43.07 27.19 5.328794e-03 533
49 Nottingham 328513 21.94 50.84 5.612392e-03 561
50 Walsall 286105 16.89 67.86 4.887884e-03 489
51 Hillingdon 310681 28.04 56.37 5.307746e-03 531
52 Medway 282702 19.13 64.08 4.829747e-03 483
53 Newcastle upon Tyne 307565 27.16 49.30 5.254512e-03 525
54 Redbridge 310911 33.92 46.03 5.311676e-03 531
55 Plymouth 266862 21.46 59.94 4.559132e-03 456
56 Brent 341221 33.25 40.26 5.829499e-03 583
57 Havering 264703 19.44 69.66 4.522248e-03 452
58 Stoke-on-Trent 259965 15.47 69.36 4.441302e-03 444
59 Milton Keynes 292180 28.22 51.41 4.991671e-03 499
60 Newham 358645 30.14 47.16 6.127175e-03 613
61 Barnsley 246482 17.38 68.31 4.210956e-03 421
62 Highland 221630 26.37 44.05 3.786378e-03 379
63 Wolverhampton 267651 19.51 62.57 4.572612e-03 457
64 Salford 278064 22.30 56.81 4.750510e-03 475
65 Derby 263490 24.21 57.22 4.501524e-03 450
66 Bexley 247835 21.77 62.95 4.234071e-03 423
67 Greenwich 291080 33.20 44.41 4.972878e-03 497
68 Tameside 232753 17.55 61.14 3.976406e-03 398
69 Tower Hamlets 325789 41.03 32.54 5.565855e-03 557
70 Trafford 236301 33.78 42.31 4.037021e-03 404
71 Hounslow 290488 34.56 48.94 4.962764e-03 496
72 Hackney 261491 41.81 21.52 4.467373e-03 447
73 Waltham Forest 275887 29.99 40.90 4.713318e-03 471
74 Harrow 261185 36.76 45.37 4.462145e-03 446
75 North Somerset 219145 28.35 52.17 3.743924e-03 374
76 Solihull 217678 28.53 56.16 3.718862e-03 372
77 Southampton 252689 24.62 53.80 4.316998e-03 432
78 Oldham 243912 18.61 60.86 4.167049e-03 417
79 Warrington 211580 27.45 54.27 3.614682e-03 361
80 North Tyneside 210487 25.28 53.40 3.596009e-03 360
81 Rochdale 226992 19.39 60.07 3.877984e-03 388
82 York 204551 32.40 41.96 3.494597e-03 349
83 Aberdeen City 217120 33.16 38.90 3.709329e-03 371
84 Haringey 261811 40.78 24.43 4.472840e-03 447
85 Calderdale 207699 24.98 55.68 3.548378e-03 355
86 Swindon 235657 22.71 54.66 4.026019e-03 403
87 Gateshead 197722 21.50 56.85 3.377929e-03 338
88 Camden 218049 50.55 25.06 3.725200e-03 373
89 Islington 220373 48.05 24.78 3.764904e-03 376
90 Bury 194606 25.68 54.12 3.324694e-03 332
91 Stockton-on-Tees 199966 22.82 61.73 3.416266e-03 342
92 New Forest 175942 27.24 57.76 3.005834e-03 301
93 Portsmouth 208420 23.69 58.08 3.560696e-03 356
94 Sutton 210053 30.08 53.72 3.588594e-03 359
95 Carmarthenshire 180717 23.90 53.75 3.087411e-03 309
96 Bath and North East Somerset 195618 33.40 42.15 3.341983e-03 334
97 Merton 214709 41.09 37.06 3.668138e-03 367
98 Charnwood 184748 26.77 53.81 3.156278e-03 316
99 Basildon 188848 18.63 68.62 3.226323e-03 323
100 Richmond upon Thames 194894 53.04 30.71 3.329614e-03 333
101 West Lothian 172080 21.47 41.75 2.939855e-03 294
102 Caerphilly 173124 18.66 57.63 2.957691e-03 296
103 Chelmsford 183326 28.80 52.83 3.131984e-03 313
104 Southend-on-Sea 180915 21.83 58.08 3.090794e-03 309
105 Basingstoke and Deane 187817 30.45 51.90 3.208709e-03 321
106 Huntingdonshire 184052 27.92 54.24 3.144387e-03 314
107 Luton 226973 22.25 56.55 3.877659e-03 388
108 Colchester 194394 27.16 53.60 3.321072e-03 332
109 Renfrewshire 170250 23.06 35.19 2.908591e-03 291
110 Telford and Wrekin 188871 20.92 63.22 3.226716e-03 323
111 North Lincolnshire 170042 19.53 66.30 2.905037e-03 291
112 Wokingham 180967 39.98 43.31 3.091682e-03 309
113 Wealden 163012 28.88 54.50 2.784935e-03 278
114 Peterborough 217705 20.24 60.89 3.719323e-03 372
115 Westminster 211365 50.29 31.03 3.611009e-03 361
116 Bedford 187466 28.14 51.78 3.202713e-03 320
117 Falkirk 153280 20.24 43.24 2.618671e-03 262
118 Maidstone 180428 25.63 58.75 3.082474e-03 308
119 Arun 166366 22.77 62.48 2.842235e-03 284
120 West Berkshire 162215 32.11 48.22 2.771319e-03 277
121 North East Lincolnshire 157754 16.21 69.87 2.695106e-03 270
122 Flintshire 149709 22.44 56.37 2.557663e-03 256
123 South Tyneside 148667 19.24 62.05 2.539862e-03 254
124 Barking and Dagenham 219992 20.87 62.44 3.758394e-03 376
125 Hammersmith and Fulham 185238 49.56 29.98 3.164649e-03 316
126 South Cambridgeshire 165633 40.10 39.77 2.829713e-03 283
127 King's Lynn and West Norfolk 155741 19.13 66.40 2.660715e-03 266
128 Braintree 157681 22.20 61.13 2.693859e-03 269
129 East Devon 154500 29.08 54.11 2.639514e-03 264
130 Knowsley 157103 15.46 51.56 2.683984e-03 268
131 Tendring 151451 15.88 69.50 2.587424e-03 259
132 Thurrock 176877 17.44 72.28 3.021808e-03 302
133 Isle of Wight 140794 22.63 61.95 2.405357e-03 241
134 Canterbury 157550 27.30 51.04 2.691621e-03 269
135 Dacorum 156123 30.93 50.67 2.667242e-03 267
136 Kingston upon Thames 168302 41.44 38.39 2.875310e-03 288
137 Mid Sussex 154930 33.63 46.91 2.646860e-03 265
138 Cherwell 164155 28.06 50.31 2.804462e-03 280
139 East Lindsey 144415 18.06 70.65 2.467219e-03 247
140 East Hertfordshire 151635 33.47 50.36 2.590568e-03 259
141 Neath Port Talbot 137392 18.79 56.84 2.347237e-03 235
142 Dundee City 144290 17.92 40.22 2.465084e-03 247
143 South Kesteven 144249 25.64 59.93 2.464383e-03 246
144 Newport 141306 23.38 55.99 2.414105e-03 241
145 St Albans 148358 46.34 37.29 2.534583e-03 253
146 North Ayrshire 135180 19.65 43.12 2.309447e-03 231
147 Bridgend 134564 22.56 54.64 2.298923e-03 230
148 Horsham 148696 32.61 48.54 2.540357e-03 254
149 South Oxfordshire 151820 36.71 45.02 2.593728e-03 259
150 Teignbridge 135952 27.97 53.90 2.322636e-03 232
151 Reigate and Banstead 153629 33.96 50.49 2.624634e-03 262
152 Redcar and Cleveland 137175 18.93 66.19 2.343530e-03 234
153 Powys 131313 26.34 53.74 2.243382e-03 224
154 Reading 174820 34.79 41.97 2.986666e-03 299
155 Warwick 151158 38.44 41.22 2.582418e-03 258
156 Torbay 139479 20.65 63.16 2.382892e-03 238
157 Windsor and Maidenhead 154738 38.40 46.10 2.643580e-03 264
158 South Norfolk 144593 27.04 51.69 2.470260e-03 247
159 Blackpool 141574 15.51 67.46 2.418683e-03 242
160 Swale 154619 18.92 62.46 2.641547e-03 264
161 Guildford 145673 39.52 43.83 2.488711e-03 249
162 Lancaster 144446 27.21 51.08 2.467749e-03 247
163 Blackburn with Darwen 155762 19.82 56.34 2.661074e-03 266
164 Epping Forest 134989 25.34 62.69 2.306183e-03 231
165 Stafford 138670 30.28 55.99 2.369071e-03 237
166 North Hertfordshire 134159 34.42 45.63 2.292004e-03 229
167 Broadland 133872 23.18 54.37 2.287100e-03 229
168 Thanet 140689 19.61 63.85 2.403564e-03 240
169 Breckland 143479 18.65 64.22 2.451229e-03 245
170 Elmbridge 140024 43.85 40.47 2.392203e-03 239
171 Wrexham 133559 22.79 59.04 2.281753e-03 228
172 Stratford-on-Avon 138583 33.38 51.56 2.367584e-03 237
173 Oxford 163257 42.59 29.73 2.789121e-03 279
174 Eastleigh 138935 27.91 52.45 2.373598e-03 237
175 Amber Valley 126944 23.15 60.28 2.168741e-03 217
176 Norwich 144525 27.73 43.76 2.469099e-03 247
177 Havant 124854 22.28 62.36 2.133035e-03 213
178 Halton 128964 17.65 57.42 2.203251e-03 220
179 Middlesbrough 148285 18.54 65.48 2.533335e-03 253
180 Test Valley 132871 30.53 51.94 2.269999e-03 227
181 Wychavon 134536 28.72 57.86 2.298444e-03 230
182 Vale of White Horse 142116 37.21 43.30 2.427943e-03 243
183 Preston 151582 24.62 53.31 2.589662e-03 259
184 Nuneaton and Bedworth 135481 18.57 66.01 2.314589e-03 231
185 Tonbridge and Malling 133661 27.10 55.70 2.283496e-03 228
186 Newcastle-under-Lyme 125297 22.49 63.04 2.140603e-03 214
187 Stroud 123205 32.87 45.39 2.104863e-03 210
188 Waverley 130063 40.14 41.61 2.222027e-03 222
189 Pembrokeshire 117086 24.76 57.14 2.000324e-03 200
190 East Ayrshire 120240 34.81 41.40 2.054208e-03 205
191 Ashfield 127179 15.09 69.84 2.172756e-03 217
192 Chichester 126103 32.39 50.92 2.154373e-03 215
193 Ipswich 139247 20.63 58.26 2.378928e-03 238
194 Conwy 110863 25.47 53.98 1.894009e-03 189
195 East Hampshire 127319 33.87 49.48 2.175147e-03 218
196 Ashford 135610 24.63 59.43 2.316793e-03 232
197 Fareham 114547 29.75 55.10 1.956948e-03 196
198 Gloucester 133522 22.20 58.50 2.281121e-03 228
199 Winchester 130268 40.66 41.07 2.225529e-03 223
200 Scottish Borders 112870 27.00 41.53 1.928297e-03 193
201 Gedling 117730 25.33 55.55 2.011327e-03 201
202 South Ayrshire 111440 25.15 41.04 1.903867e-03 190
203 Slough 159182 25.84 54.33 2.719502e-03 272
204 Erewash 113080 20.68 61.23 1.931885e-03 193
205 Newark and Sherwood 125089 24.16 60.39 2.137050e-03 214
206 Sevenoaks 121106 31.98 54.38 2.069003e-03 207
207 Angus 110570 23.63 44.74 1.889004e-03 189
208 Cheltenham 119434 36.23 43.83 2.040438e-03 204
209 North Kesteven 119709 25.43 62.26 2.045136e-03 205
210 Exeter 134939 28.56 44.72 2.305329e-03 231
211 Rushcliffe 121582 38.99 42.45 2.077135e-03 208
212 West Lancashire 119367 25.35 55.31 2.039294e-03 204
213 South Staffordshire 111527 25.09 64.85 1.905353e-03 191
214 Bassetlaw 120012 20.24 67.83 2.050313e-03 205
215 Hinckley and Bosworth 114298 24.06 60.33 1.952694e-03 195
216 Bracknell Forest 126881 30.31 53.94 2.167664e-03 217
217 Dover 117473 21.96 62.15 2.006936e-03 201
218 Gwynedd 119007 26.43 41.95 2.033143e-03 203
219 South Ribble 112166 26.40 58.56 1.916270e-03 192
220 Wyre 114809 22.98 63.77 1.961424e-03 196
221 Chorley 118624 27.83 56.83 2.026600e-03 203
222 Broxtowe 112113 28.24 54.65 1.915365e-03 192
223 East Staffordshire 125760 23.38 63.21 2.148513e-03 215
224 North Norfolk 103227 22.26 58.91 1.763554e-03 176
225 Kensington and Chelsea 146154 52.68 31.31 2.496929e-03 250
226 East Dunbartonshire 104580 26.98 28.60 1.786669e-03 179
227 West Oxfordshire 116928 32.91 46.34 1.997625e-03 200
228 Tunbridge Wells 116028 34.64 45.11 1.982249e-03 198
229 Worthing 112044 25.96 52.99 1.914186e-03 191
230 Lichfield 108352 28.42 58.81 1.851111e-03 185
231 Cambridge 146995 47.33 26.15 2.511297e-03 251
232 Chesterfield 104110 21.02 60.04 1.778639e-03 178
233 Staffordshire Moorlands 95899 23.74 64.73 1.638361e-03 164
234 North East Derbyshire 103783 22.18 62.78 1.773053e-03 177
235 Mid Suffolk 105723 26.44 55.23 1.806196e-03 181
236 Welwyn Hatfield 120213 30.01 52.99 2.053747e-03 205
237 Wyre Forest 102328 22.07 63.15 1.748195e-03 175
238 East Lothian 97500 35.24 35.40 1.665713e-03 167
239 Darlington 109469 23.72 56.18 1.870194e-03 187
240 Mansfield 111117 16.36 70.86 1.898349e-03 190
241 Lewes 100677 29.42 47.93 1.719989e-03 172
242 North Devon 100505 22.92 57.04 1.717051e-03 172
243 Denbighshire 96731 24.24 54.00 1.652575e-03 165
244 Cannock Chase 101140 17.22 68.86 1.727899e-03 173
245 Bromsgrove 100076 30.54 55.37 1.709722e-03 171
246 Rugby 116436 28.18 56.70 1.989220e-03 199
247 Dartford 118820 22.05 64.22 2.029948e-03 203
248 North West Leicestershire 107672 24.28 60.70 1.839493e-03 184
249 South Derbyshire 111133 25.95 60.35 1.898622e-03 190
250 Blaby 104182 24.87 59.47 1.779869e-03 178
251 Crawley 119509 21.54 58.41 2.041720e-03 204
252 Worcester 104120 27.66 53.68 1.778810e-03 178
253 West Lindsey 96817 25.28 61.82 1.654044e-03 165
254 Hertsmere 108106 30.80 50.84 1.846908e-03 185
255 Gravesham 106970 19.96 65.38 1.827500e-03 183
256 Rother 94162 25.46 58.53 1.608685e-03 161
257 Spelthorne 103551 25.95 60.30 1.769089e-03 177
258 Great Yarmouth 99862 14.21 71.50 1.706066e-03 171
259 High Peak 91109 29.41 50.55 1.556527e-03 156
260 Eastbourne 102247 24.42 57.33 1.746812e-03 175
261 Monmouthshire 88089 33.08 49.56 1.504933e-03 150
262 Fenland 103035 14.88 71.39 1.760274e-03 176
263 Moray 87720 22.71 49.87 1.498629e-03 150
264 Woking 104179 38.36 43.85 1.779818e-03 178
265 Babergh 94277 25.81 54.19 1.610650e-03 161
266 Hartlepool 93861 17.60 69.57 1.603543e-03 160
267 Hart 100910 37.49 47.60 1.723970e-03 172
268 East Renfrewshire 89540 41.44 25.68 1.529722e-03 153
269 South Hams 89812 34.27 47.15 1.534369e-03 153
270 Broxbourne 99103 19.23 66.26 1.693099e-03 169
271 Torfaen 90533 20.28 59.78 1.546687e-03 155
272 Castle Point 89731 14.62 72.70 1.532985e-03 153
273 Cotswold 91311 33.65 48.90 1.559978e-03 156
274 Tewkesbury 97000 30.18 53.25 1.657171e-03 166
275 West Dunbartonshire 90570 16.51 38.01 1.547319e-03 155
276 Harborough 100481 31.84 50.75 1.716641e-03 172
277 Three Rivers 94123 33.91 51.27 1.608019e-03 161
278 Midlothian 81140 21.05 37.94 1.386215e-03 139
279 Mole Valley 87769 37.94 46.92 1.499466e-03 150
280 Forest of Dean 87937 23.97 58.58 1.502336e-03 150
281 Rochford 87216 20.01 66.61 1.490018e-03 149
282 Stirling 89850 33.30 32.28 1.535018e-03 154
283 Rushmoor 101060 24.71 58.21 1.726533e-03 173
284 South Holland 96983 15.79 73.59 1.656880e-03 166
285 Surrey Heath 91237 34.47 50.98 1.558714e-03 156
286 Watford 103031 32.20 50.27 1.760206e-03 176
287 Uttlesford 92578 31.94 50.68 1.581624e-03 158
288 Pendle 96110 20.23 63.15 1.641966e-03 164
289 Burnley 95553 18.73 66.61 1.632450e-03 163
290 Tandridge 88707 32.97 52.84 1.515491e-03 152
291 Lincoln 102545 21.29 56.94 1.751903e-03 175
292 Gosport 82285 21.48 63.86 1.405776e-03 141
293 East Cambridgeshire 89394 29.02 50.92 1.527228e-03 153
294 Stevenage 89737 22.08 59.25 1.533088e-03 153
295 Hyndburn 83213 18.93 66.19 1.421630e-03 142
296 Hastings 90622 21.23 54.88 1.548207e-03 155
297 Fylde 83008 29.77 56.96 1.418128e-03 142
298 Redditch 87132 20.70 62.29 1.488583e-03 149
299 Mid Devon 83786 26.45 53.34 1.431419e-03 143
300 Malvern Hills 81024 33.93 52.16 1.384233e-03 138
301 Harlow 94409 17.63 68.10 1.612905e-03 161
302 Brentwood 77332 30.68 59.15 1.321158e-03 132
303 Inverclyde 79770 19.74 36.20 1.362809e-03 136
304 Runnymede 88524 29.92 54.26 1.512365e-03 151
305 Bolsover 81553 15.84 70.83 1.393270e-03 139
306 Derbyshire Dales 71752 33.42 51.56 1.225828e-03 123
307 Tamworth 79639 17.42 67.47 1.360571e-03 136
308 Epsom and Ewell 81184 35.98 47.92 1.386966e-03 139
309 Ceredigion 76938 27.92 45.37 1.314427e-03 131
310 Torridge 68635 21.67 60.83 1.172576e-03 117
311 Rossendale 71169 25.13 60.68 1.215868e-03 122
312 Blaenau Gwent 68368 15.16 62.03 1.168015e-03 117
313 North Warwickshire 65946 19.78 66.88 1.126637e-03 113
314 Maldon 67554 23.64 62.58 1.154108e-03 115
315 Adur 64688 21.99 54.57 1.105145e-03 111
316 Ribble Valley 63107 33.98 56.39 1.078135e-03 108
317 West Devon 58190 30.03 53.20 9.941315e-04 99
318 Merthyr Tydfil 55699 17.75 56.44 9.515747e-04 95
319 Oadby and Wigston 58341 24.75 54.58 9.967112e-04 100
320 Boston 70806 15.13 75.56 1.209666e-03 121
321 Clackmannanshire 50630 21.51 42.22 8.649747e-04 86
322 Melton 52433 26.15 58.11 8.957776e-04 90
323 Rutland 41151 32.90 50.57 7.030332e-04 70
324 Eilean Siar 26190 26.41 44.76 4.474360e-04 45
325 Shetland Islands 22400 26.63 43.49 3.826868e-04 38
326 Orkney Islands 20110 26.54 36.84 3.435639e-04 34
327 Isles of Scilly 2281 33.01 43.61 3.896913e-05 4
simulation
1 50.51604
2 50.51604
3 50.51604
4 50.51604
5 50.51604
6 50.51604
7 50.51604
8 50.51604
9 50.51604
10 50.51604
11 50.51604
12 50.51604
13 50.51604
14 50.51604
15 50.51604
16 50.51604
17 50.51604
18 50.51604
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20 50.51604
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27 50.51604
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30 50.51604
31 50.51604
32 50.51604
33 50.51604
34 50.51604
35 50.51604
36 50.51604
37 50.51604
38 50.51604
39 50.51604
40 50.51604
41 50.51604
42 50.51604
43 50.51604
44 50.51604
45 50.51604
46 50.51604
47 50.51604
48 50.51604
49 50.51604
50 50.51604
51 50.51604
52 50.51604
53 50.51604
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55 50.51604
56 50.51604
57 50.51604
58 50.51604
59 50.51604
60 50.51604
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62 50.51604
63 50.51604
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90 50.51604
91 50.51604
92 50.51604
93 50.51604
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95 50.51604
96 50.51604
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100 50.51604
101 50.51604
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103 50.51604
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168 50.51604
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180 50.51604
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183 50.51604
184 50.51604
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187 50.51604
188 50.51604
189 50.51604
190 50.51604
191 50.51604
192 50.51604
193 50.51604
194 50.51604
195 50.51604
196 50.51604
197 50.51604
198 50.51604
199 50.51604
200 50.51604
201 50.51604
202 50.51604
203 50.51604
204 50.51604
205 50.51604
206 50.51604
207 50.51604
208 50.51604
209 50.51604
210 50.51604
211 50.51604
212 50.51604
213 50.51604
214 50.51604
215 50.51604
216 50.51604
217 50.51604
218 50.51604
219 50.51604
220 50.51604
221 50.51604
222 50.51604
223 50.51604
224 50.51604
225 50.51604
226 50.51604
227 50.51604
228 50.51604
229 50.51604
230 50.51604
231 50.51604
232 50.51604
233 50.51604
234 50.51604
235 50.51604
236 50.51604
237 50.51604
238 50.51604
239 50.51604
240 50.51604
241 50.51604
242 50.51604
243 50.51604
244 50.51604
245 50.51604
246 50.51604
247 50.51604
248 50.51604
249 50.51604
250 50.51604
251 50.51604
252 50.51604
253 50.51604
254 50.51604
255 50.51604
256 50.51604
257 50.51604
258 50.51604
259 50.51604
260 50.51604
261 50.51604
262 50.51604
263 50.51604
264 50.51604
265 50.51604
266 50.51604
267 50.51604
268 50.51604
269 50.51604
270 50.51604
271 50.51604
272 50.51604
273 50.51604
274 50.51604
275 50.51604
276 50.51604
277 50.51604
278 50.51604
279 50.51604
280 50.51604
281 50.51604
282 50.51604
283 50.51604
284 50.51604
285 50.51604
286 50.51604
287 50.51604
288 50.51604
289 50.51604
290 50.51604
291 50.51604
292 50.51604
293 50.51604
294 50.51604
295 50.51604
296 50.51604
297 50.51604
298 50.51604
299 50.51604
300 50.51604
301 50.51604
302 50.51604
303 50.51604
304 50.51604
305 50.51604
306 50.51604
307 50.51604
308 50.51604
309 50.51604
310 50.51604
311 50.51604
312 50.51604
313 50.51604
314 50.51604
315 50.51604
316 50.51604
317 50.51604
318 50.51604
319 50.51604
320 50.51604
321 50.51604
322 50.51604
323 50.51604
324 50.51604
325 50.51604
326 50.51604
327 50.51604Question 19
Question 19
ANSWER: The mean percentage of people that voted “Leave” in the simulation is 50,5%. We have a difference of 1,29 porcentual points with the reality, which is not a big difference
Question 20
The last question does not exist and it is up to you to formulate and solve it. What question can you think of that could be interesting to ask with the current database? Why? What would be its resolution? You have absolute creative freedom to do so.
Question 20
The question is the following: A) Knowing the historical discrepancies between England, Scotland and even Wales we want to know if the mean percentage of “Leave” voters was the same in the 3 kingdoms (England, Scotland and Wales). We aren’t taking into account Northern Irland because it’s not in the Brexit Dataset
Question 20
#First we create the databases
#ENGLAND
data_england <- brexit_data_district |>
inner_join(pop_en, by = c("name"="Region"))|>
mutate(
leave = as.numeric(leave),
high_education = as.numeric(high_education))
#SCOTLAND
data_scotland <- brexit_data_district |>
inner_join(pop_sc, by = c("name"="Region"))|>
mutate(
leave = as.numeric(leave),
high_education = as.numeric(high_education))
#WALES
data_wales <- brexit_data_district |>
inner_join(pop_wal, by = c("name"="Region"))|>
mutate(
leave = as.numeric(leave),
high_education = as.numeric(high_education))Question 20
Now we compare means with an one-way ANOVA analysis because we have several groups and one variable
H0: no differences between means
H1: differences between at least 2 means
Question 20
data_all <- rbind(
cbind(data_scotland, region = "Scotland"),
cbind(data_england, region = "England"),
cbind (data_wales, region= "Wales"))
table <- data_all |>
group_by(region) |>
summarise(
leave = mean(leave, na.rm = TRUE),
)
print (table)# A tibble: 3 × 2
region leave
<chr> <dbl>
1 England 54.2
2 Scotland 39.3
3 Wales 53.7Question 20
ANSWER The p-value is < 0,05, so there’s a significative difference between at least two of the mean percentage of people voting “Leave” regarding regions.Now we have to do Tukey test to check where the significative differences are
Question 20
Tukey multiple comparisons of means
95% family-wise confidence level
Fit: aov(formula = leave ~ region, data = data_all[data_all$region %in% c("England", "Scotland", "Wales"), ])
$region
diff lwr upr p adj
Scotland-England -14.8168571 -19.472284 -10.161430 0.0000000
Wales-England -0.4870451 -6.055337 5.081247 0.9768912
Wales-Scotland 14.3298120 7.348528 21.311096 0.0000062# A tibble: 3 × 2
region leave
<chr> <dbl>
1 England 54.2
2 Scotland 39.3
3 Wales 53.7Question 20
ANSWER: There’s a significative difference between Scotland and England and Wales and England in the mean percentage of people voting “Leave” because of the p-value <0,05. As we see the mean percentage in England is 54,16% while in Scotland is a lot less (39,34%) and in Wales is 53,67%. The difference between England and Wales is, therefore, not significative
Question 20
- And does the relationship between being highly educated and voting “Leave” remain the same and significant in the 3 regions (England, Scotland and Wales)? How much does it vary? Again, we aren’t taking into account Northern Irland because it’s not in the Brexit Dataset
Question 20
ENGLAND
Question 20
ANSWER FOR ENGLAND: We can see that there’s a significant relation (p-value=0) between being high educated and voting “Leave” with a negative and strong relation (-0,9)): the higher the education, the fewer the percetage of votes for “leaving the EU”.
Question 20
SCOTLAND
#p-value and correlation for Scotland
data_scotland_clean <- na.omit(data_scotland[, c("leave", "high_education")])
cor_result <- rcorr(as.matrix(data_scotland_clean))
print(cor_result) leave high_education
leave 1.00 -0.41
high_education -0.41 1.00
n= 28
P
leave high_education
leave 0.0322
high_education 0.0322 Question 20
ANSWER FOR SCOTLAND: Again, there’s a significant relation between being high educated and voting for “leave” because the p-value (0,032)<0,05. The correation is not so strong, it’s moderate and negative. Meaning that in those zones where there’s high educated people, they vote less “Leave”, but the relation is weaker than in England
Question 20
WALES
Question 20
ANSWER FOR WALES: There’s a significant relation between being high educated and voting for “leave” and the correation is quite strong and negative, in the same way as before In general, Wales has very similar results to England. However, Scotland is more different from them (which makes sense because of the history of these regions)